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Finding the Fourth Proportional to 138,747.73, 191,472.47 and 75,085.54

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Solution

The fourth proportional to 138,747.73, 191,472.47 and 75,085.54 is: 103,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,747.73 : 191,472.47 = 75,085.54 : x
  2. Step 2: Convert to fraction form
    138,747.73/191,472.47 = 75,085.54/x
  3. Step 3: Cross multiply
    138,747.73x = 191,472.47 × 75,085.54
  4. Step 4: Simplify right side
    138,747.73x = 14,376,813,805.08
  5. Step 5: Solve for x
    x = 14,376,813,805.08/138,747.73
  6. Step 6: Final answer
    x = 103,618.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.