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Finding the Fourth Proportional to 206,096.60, 309,165.78 and 71,143.08

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Solution

The fourth proportional to 206,096.60, 309,165.78 and 71,143.08 is: 106,721.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,096.60 : 309,165.78 = 71,143.08 : x
  2. Step 2: Convert to fraction form
    206,096.60/309,165.78 = 71,143.08/x
  3. Step 3: Cross multiply
    206,096.60x = 309,165.78 × 71,143.08
  4. Step 4: Simplify right side
    206,096.60x = 21,995,005,819.80
  5. Step 5: Solve for x
    x = 21,995,005,819.80/206,096.60
  6. Step 6: Final answer
    x = 106,721.83

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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.