Finding the Fourth Proportional to 105,817, 158,725.50 and 31,945

Step by Step Solution

1. Step 1: Write the proportion equation
   105,817 : 158,725.50 = 31,945 : x
2. Step 2: Convert to fraction form
   105,817/158,725.50 = 31,945/x
3. Step 3: Cross multiply
   105,817x = 158,725.50 × 31,945
4. Step 4: Simplify right side
   105,817x = 5,070,486,097.50
5. Step 5: Solve for x
   x = 5,070,486,097.50/105,817
6. Step 6: Final answer
   x = 47,917.50