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Finding the Fourth Proportional to 178,436.68, 267,359.70 and 78,446.92

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Solution

The fourth proportional to 178,436.68, 267,359.70 and 78,446.92 is: 117,540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,436.68 : 267,359.70 = 78,446.92 : x
  2. Step 2: Convert to fraction form
    178,436.68/267,359.70 = 78,446.92/x
  3. Step 3: Cross multiply
    178,436.68x = 267,359.70 × 78,446.92
  4. Step 4: Simplify right side
    178,436.68x = 20,973,544,997.12
  5. Step 5: Solve for x
    x = 20,973,544,997.12/178,436.68
  6. Step 6: Final answer
    x = 117,540.55

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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.