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Finding the Fourth Proportional to 178,234.59, 267,385.59 and 71,626.86

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Solution

The fourth proportional to 178,234.59, 267,385.59 and 71,626.86 is: 107,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,234.59 : 267,385.59 = 71,626.86 : x
  2. Step 2: Convert to fraction form
    178,234.59/267,385.59 = 71,626.86/x
  3. Step 3: Cross multiply
    178,234.59x = 267,385.59 × 71,626.86
  4. Step 4: Simplify right side
    178,234.59x = 19,151,990,220.95
  5. Step 5: Solve for x
    x = 19,151,990,220.95/178,234.59
  6. Step 6: Final answer
    x = 107,453.83

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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.