The Star Trek world is based on a post scarcity economy, thiswhich this article explains nicely.
My guess: because you are born in a place where all your basics are covered up until almost the top of the pyramid, what is left is just the Selfself-actualization. What cancould be best tobetter for that than to explore the universe? I willwould sign blindly if I were there. Keep in mind that the Star Trek series only cover the intensive events, it: they won't cover an episode about a routine space exploration with no contact whatsoever, or we willwould fall asleep ;-).
I think, they simply receive the feeling of having some meaningful/stories on stories in their lives + an awesome experience in the unknown! It's in us, otherwise why the **** did Columbus decideddecide to get into so much trouble?