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Finding the Fourth Proportional to 138,956.97, 191,755.48 and 75,293.40

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Solution

The fourth proportional to 138,956.97, 191,755.48 and 75,293.40 is: 103,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,956.97 : 191,755.48 = 75,293.40 : x
  2. Step 2: Convert to fraction form
    138,956.97/191,755.48 = 75,293.40/x
  3. Step 3: Cross multiply
    138,956.97x = 191,755.48 × 75,293.40
  4. Step 4: Simplify right side
    138,956.97x = 14,437,921,439.47
  5. Step 5: Solve for x
    x = 14,437,921,439.47/138,956.97
  6. Step 6: Final answer
    x = 103,902.10

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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.