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Finding the Fourth Proportional to 138,884.69, 191,659.97 and 78,474.89

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Solution

The fourth proportional to 138,884.69, 191,659.97 and 78,474.89 is: 108,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,884.69 : 191,659.97 = 78,474.89 : x
  2. Step 2: Convert to fraction form
    138,884.69/191,659.97 = 78,474.89/x
  3. Step 3: Cross multiply
    138,884.69x = 191,659.97 × 78,474.89
  4. Step 4: Simplify right side
    138,884.69x = 15,040,493,712.48
  5. Step 5: Solve for x
    x = 15,040,493,712.48/138,884.69
  6. Step 6: Final answer
    x = 108,294.83

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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.