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Finding the Fourth Proportional to 224,755.31, 310,171.79 and 129,262.11

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Solution

The fourth proportional to 224,755.31, 310,171.79 and 129,262.11 is: 178,387.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,755.31 : 310,171.79 = 129,262.11 : x
  2. Step 2: Convert to fraction form
    224,755.31/310,171.79 = 129,262.11/x
  3. Step 3: Cross multiply
    224,755.31x = 310,171.79 × 129,262.11
  4. Step 4: Simplify right side
    224,755.31x = 40,093,459,391.57
  5. Step 5: Solve for x
    x = 40,093,459,391.57/224,755.31
  6. Step 6: Final answer
    x = 178,387.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.