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Finding the Fourth Proportional to 138,371.59, 207,622.99 and 82,322.42

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Solution

The fourth proportional to 138,371.59, 207,622.99 and 82,322.42 is: 123,522.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,371.59 : 207,622.99 = 82,322.42 : x
  2. Step 2: Convert to fraction form
    138,371.59/207,622.99 = 82,322.42/x
  3. Step 3: Cross multiply
    138,371.59x = 207,622.99 × 82,322.42
  4. Step 4: Simplify right side
    138,371.59x = 17,092,026,572.82
  5. Step 5: Solve for x
    x = 17,092,026,572.82/138,371.59
  6. Step 6: Final answer
    x = 123,522.66

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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.