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Finding the Fourth Proportional to 256,251.92, 384,414.62 and 78,773.82

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Solution

The fourth proportional to 256,251.92, 384,414.62 and 78,773.82 is: 118,172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,251.92 : 384,414.62 = 78,773.82 : x
  2. Step 2: Convert to fraction form
    256,251.92/384,414.62 = 78,773.82/x
  3. Step 3: Cross multiply
    256,251.92x = 384,414.62 × 78,773.82
  4. Step 4: Simplify right side
    256,251.92x = 30,281,807,687.38
  5. Step 5: Solve for x
    x = 30,281,807,687.38/256,251.92
  6. Step 6: Final answer
    x = 118,172.02

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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.