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Finding the Fourth Proportional to 206,737.36, 309,909.16 and 66,397.57

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Solution

The fourth proportional to 206,737.36, 309,909.16 and 66,397.57 is: 99,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,737.36 : 309,909.16 = 66,397.57 : x
  2. Step 2: Convert to fraction form
    206,737.36/309,909.16 = 66,397.57/x
  3. Step 3: Cross multiply
    206,737.36x = 309,909.16 × 66,397.57
  4. Step 4: Simplify right side
    206,737.36x = 20,577,215,144.74
  5. Step 5: Solve for x
    x = 20,577,215,144.74/206,737.36
  6. Step 6: Final answer
    x = 99,533.12

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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.