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Finding the Fourth Proportional to 81,387, 122,082.66 and 25,983

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Solution

The fourth proportional to 81,387, 122,082.66 and 25,983 is: 38,975.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,387 : 122,082.66 = 25,983 : x
  2. Step 2: Convert to fraction form
    81,387/122,082.66 = 25,983/x
  3. Step 3: Cross multiply
    81,387x = 122,082.66 × 25,983
  4. Step 4: Simplify right side
    81,387x = 3,172,073,754.78
  5. Step 5: Solve for x
    x = 3,172,073,754.78/81,387
  6. Step 6: Final answer
    x = 38,975.19

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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.