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Finding the Fourth Proportional to 206,566.20, 309,906.90 and 88,294.20

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Solution

The fourth proportional to 206,566.20, 309,906.90 and 88,294.20 is: 132,465.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,566.20 : 309,906.90 = 88,294.20 : x
  2. Step 2: Convert to fraction form
    206,566.20/309,906.90 = 88,294.20/x
  3. Step 3: Cross multiply
    206,566.20x = 309,906.90 × 88,294.20
  4. Step 4: Simplify right side
    206,566.20x = 27,362,981,809.98
  5. Step 5: Solve for x
    x = 27,362,981,809.98/206,566.20
  6. Step 6: Final answer
    x = 132,465.92

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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.