You Do Need power plug adapter while traveling from Balearic Islands to Papua New Guinea.

Here is Why You Need An Adapter

The outlet and plug type used in Papua New Guinea is I and in Balearic Islands are C and F. This is how they look like.

Balearic Islands

In Balearic Islands, outlets of type C and F are in use.

Type C

Type F

Papua New Guinea

In Papua New Guinea, outlets of type I are in use.

Type I