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Finding the Fourth Proportional to 206,543.52, 309,847.76 and 88,215.52

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Solution

The fourth proportional to 206,543.52, 309,847.76 and 88,215.52 is: 132,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,543.52 : 309,847.76 = 88,215.52 : x
  2. Step 2: Convert to fraction form
    206,543.52/309,847.76 = 88,215.52/x
  3. Step 3: Cross multiply
    206,543.52x = 309,847.76 × 88,215.52
  4. Step 4: Simplify right side
    206,543.52x = 27,333,381,269.24
  5. Step 5: Solve for x
    x = 27,333,381,269.24/206,543.52
  6. Step 6: Final answer
    x = 132,337.15

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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.