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Finding the Fourth Proportional to 129,442.53, 178,630.32 and 72,853.90

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Solution

The fourth proportional to 129,442.53, 178,630.32 and 72,853.90 is: 100,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,442.53 : 178,630.32 = 72,853.90 : x
  2. Step 2: Convert to fraction form
    129,442.53/178,630.32 = 72,853.90/x
  3. Step 3: Cross multiply
    129,442.53x = 178,630.32 × 72,853.90
  4. Step 4: Simplify right side
    129,442.53x = 13,013,915,470.25
  5. Step 5: Solve for x
    x = 13,013,915,470.25/129,442.53
  6. Step 6: Final answer
    x = 100,538.17

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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.