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Finding the Fourth Proportional to 206,352.82, 284,778.75 and 115,737.85

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Solution

The fourth proportional to 206,352.82, 284,778.75 and 115,737.85 is: 159,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,352.82 : 284,778.75 = 115,737.85 : x
  2. Step 2: Convert to fraction form
    206,352.82/284,778.75 = 115,737.85/x
  3. Step 3: Cross multiply
    206,352.82x = 284,778.75 × 115,737.85
  4. Step 4: Simplify right side
    206,352.82x = 32,959,680,250.69
  5. Step 5: Solve for x
    x = 32,959,680,250.69/206,352.82
  6. Step 6: Final answer
    x = 159,724.88

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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.