I have a crontab running every hour. The user running it has environment variabless in the .bash_profile that work when the user runs the job from the terminal,
Expanding on @carestad example, which I find easier, is to run the script with cron and have the environment in the script.
In crontab -e file:
SHELL=/bin/bash
*/1 * * * * $HOME/cron_job.sh
In cron_job.sh file:
#!/bin/bash
source $HOME/.bash_profile
some_other_cmd
Any command after the source of .bash_profile will have your environment as if you logged in.