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Finding the Fourth Proportional to 138,770.53, 207,988.17 and 67,586.48

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Solution

The fourth proportional to 138,770.53, 207,988.17 and 67,586.48 is: 101,298.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,770.53 : 207,988.17 = 67,586.48 : x
  2. Step 2: Convert to fraction form
    138,770.53/207,988.17 = 67,586.48/x
  3. Step 3: Cross multiply
    138,770.53x = 207,988.17 × 67,586.48
  4. Step 4: Simplify right side
    138,770.53x = 14,057,189,328.61
  5. Step 5: Solve for x
    x = 14,057,189,328.61/138,770.53
  6. Step 6: Final answer
    x = 101,298.09

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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.