How to install pcs 4x100 14 rims on pcd 4x113 of the same 14 inch rims?

No, 4x100 wheels will not fit on a car with 4x113 hubs - each bolt will be 6.5mm out from the hole it needs to go through, and to fit properly the bolts need to be exactly centred in the holes.

To go from one bolt pattern to another you could in theory use a bolt-on spacer. They look like this:

The spacer has holes where the original studs fit, you use original lug nuts there, then bolt your wheels to the spacers.

The problem with these is they would offset the wheels a good amount away from their normal position, so in a typical car you are likely to have the tires contacting fenders.

When you are going from a smaller to a larger bolt pattern (4x100 wheels on a 4x113 vehicle for instance) there are two more issues to consider:

1. Center bore for smaller bolt patterns is usually smaller. This means the wall of the spacer must necessarily be pretty thin which isn't ideal.
2. The wheels using a larger bolt pattern are generally rated for higher load. You may be using wheels that aren't rated for the weight of your car.

With that said it seems that 4x100 -> 4x113 spacers are in fact manufactured and sold.