The Collaborative International Dictionary of English v.0.48:

Satisfy \Sat"is*fy\, v. t. [imp. & p. p. Satisfied; p. pr. &
   vb. n. Satisfying.] [OF. satisfier; L. satis enough +
   -ficare (in comp.) to make; cf. F. satisfaire, L.
   satisfacere. See Sad, a., and Fact.]
   1. In general, to fill up the measure of a want of (a person
      or a thing); hence, to grafity fully the desire of; to
      make content; to supply to the full, or so far as to give
      contentment with what is wished for.
      [1913 Webster]

            Death shall . . . with us two
            Be forced to satisfy his ravenous maw. --Milton.
      [1913 Webster]

   2. To pay to the extent of claims or deserts; to give what is
      due to; as, to satisfy a creditor.
      [1913 Webster]

   3. To answer or discharge, as a claim, debt, legal demand, or
      the like; to give compensation for; to pay off; to
      requite; as, to satisfy a claim or an execution.
      [1913 Webster]

   4. To free from doubt, suspense, or uncertainty; to give
      assurance to; to set at rest the mind of; to convince; as,
      to satisfy one's self by inquiry.
      [1913 Webster]

            The standing evidences of the truth of the gospel
            are in themselves most firm, solid, and satisfying.
                                                  --Atterbury.
      [1913 Webster]

   Syn: To satiate; sate; content; grafity; compensate. See
        Satiate.
        [1913 Webster]

WordNet (r) 3.0 (2006):

satisfying
    adj 1: providing abundant nourishment; "a hearty meal"; "good
           solid food"; "ate a substantial breakfast"; "four square
           meals a day" [syn: hearty, satisfying, solid,
           square, substantial]
    2: providing freedom from worry [syn: comforting, cheering,
       satisfying]

Moby Thesaurus II by Grady Ward, 1.0:

87 Moby Thesaurus words for "satisfying":
   absolute, adequate, affable, agreeable, amiable, amicable, ample,
   assuring, authoritative, blissful, cheerful, cloying, cloysome,
   cogent, comforting, commensurate, compatible, compensating,
   compensative, compensatory, complaisant, conclusive, congenial,
   convictional, convincing, cordial, decisive, desirable,
   determinative, dulcet, en rapport, enjoyable, equal to, fair,
   fair and pleasant, felicific, felicitous, filling, fine,
   fulfilling, genial, good, goodly, gracious, grateful, gratifying,
   harmonious, heart-warming, honeyed, impressive, jading, likable,
   lucrative, mellifluous, mellow, moneymaking, nice, overfilling,
   pacifying, paying, persuasive, pleasant, pleasing, pleasurable,
   pleasure-giving, pleasureful, profitable, proportionable,
   proportionate, remunerative, reparative, repaying, retributive,
   retributory, rewardful, rewarding, satiating, sating, satisfactory,
   solid, sound, sufficient, sufficing, surfeiting, sweet, telling,
   welcome