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Finding the Fourth Proportional to 206,687,502.30, 310,031,253.45 and 137,812,748.70

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Solution

The fourth proportional to 206,687,502.30, 310,031,253.45 and 137,812,748.70 is: 206,719,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,687,502.30 : 310,031,253.45 = 137,812,748.70 : x
  2. Step 2: Convert to fraction form
    206,687,502.30/310,031,253.45 = 137,812,748.70/x
  3. Step 3: Cross multiply
    206,687,502.30x = 310,031,253.45 × 137,812,748.70
  4. Step 4: Simplify right side
    206,687,502.30x = 42,726,259,220,850,856
  5. Step 5: Solve for x
    x = 42,726,259,220,850,856/206,687,502.30
  6. Step 6: Final answer
    x = 206,719,123.05

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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.