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Finding the Fourth Proportional to 206,581.78, 309,613.74 and 88,114.42

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Solution

The fourth proportional to 206,581.78, 309,613.74 and 88,114.42 is: 132,061.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,581.78 : 309,613.74 = 88,114.42 : x
  2. Step 2: Convert to fraction form
    206,581.78/309,613.74 = 88,114.42/x
  3. Step 3: Cross multiply
    206,581.78x = 309,613.74 × 88,114.42
  4. Step 4: Simplify right side
    206,581.78x = 27,281,435,124.13
  5. Step 5: Solve for x
    x = 27,281,435,124.13/206,581.78
  6. Step 6: Final answer
    x = 132,061.19

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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.