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Finding the Fourth Proportional to 115,073.22, 172,619.64 and 35,129.15

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Solution

The fourth proportional to 115,073.22, 172,619.64 and 35,129.15 is: 52,696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,073.22 : 172,619.64 = 35,129.15 : x
  2. Step 2: Convert to fraction form
    115,073.22/172,619.64 = 35,129.15/x
  3. Step 3: Cross multiply
    115,073.22x = 172,619.64 × 35,129.15
  4. Step 4: Simplify right side
    115,073.22x = 6,063,980,363.41
  5. Step 5: Solve for x
    x = 6,063,980,363.41/115,073.22
  6. Step 6: Final answer
    x = 52,696.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.