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Finding the Fourth Proportional to 206,737.85, 309,909.92 and 66,398.06

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Solution

The fourth proportional to 206,737.85, 309,909.92 and 66,398.06 is: 99,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,737.85 : 309,909.92 = 66,398.06 : x
  2. Step 2: Convert to fraction form
    206,737.85/309,909.92 = 66,398.06/x
  3. Step 3: Cross multiply
    206,737.85x = 309,909.92 × 66,398.06
  4. Step 4: Simplify right side
    206,737.85x = 20,577,417,905.54
  5. Step 5: Solve for x
    x = 20,577,417,905.54/206,737.85
  6. Step 6: Final answer
    x = 99,533.87

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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.