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Finding the Fourth Proportional to 129,443.53, 178,631.70 and 72,854.90

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Solution

The fourth proportional to 129,443.53, 178,631.70 and 72,854.90 is: 100,539.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,443.53 : 178,631.70 = 72,854.90 : x
  2. Step 2: Convert to fraction form
    129,443.53/178,631.70 = 72,854.90/x
  3. Step 3: Cross multiply
    129,443.53x = 178,631.70 × 72,854.90
  4. Step 4: Simplify right side
    129,443.53x = 13,014,194,640.33
  5. Step 5: Solve for x
    x = 13,014,194,640.33/129,443.53
  6. Step 6: Final answer
    x = 100,539.55

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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.