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Finding the Fourth Proportional to 310,755.64, 466,132.13 and 86,115.43

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Solution

The fourth proportional to 310,755.64, 466,132.13 and 86,115.43 is: 129,172.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,755.64 : 466,132.13 = 86,115.43 : x
  2. Step 2: Convert to fraction form
    310,755.64/466,132.13 = 86,115.43/x
  3. Step 3: Cross multiply
    310,755.64x = 466,132.13 × 86,115.43
  4. Step 4: Simplify right side
    310,755.64x = 40,141,170,192.38
  5. Step 5: Solve for x
    x = 40,141,170,192.38/310,755.64
  6. Step 6: Final answer
    x = 129,172.78

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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.