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Finding the Fourth Proportional to 138,754.75, 191,481.55 and 75,092.54

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Solution

The fourth proportional to 138,754.75, 191,481.55 and 75,092.54 is: 103,627.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,754.75 : 191,481.55 = 75,092.54 : x
  2. Step 2: Convert to fraction form
    138,754.75/191,481.55 = 75,092.54/x
  3. Step 3: Cross multiply
    138,754.75x = 191,481.55 × 75,092.54
  4. Step 4: Simplify right side
    138,754.75x = 14,378,835,577.17
  5. Step 5: Solve for x
    x = 14,378,835,577.17/138,754.75
  6. Step 6: Final answer
    x = 103,627.70

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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.