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Finding the Fourth Proportional to 138,998.40, 191,806.24 and 78,565.92

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Solution

The fourth proportional to 138,998.40, 191,806.24 and 78,565.92 is: 108,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,998.40 : 191,806.24 = 78,565.92 : x
  2. Step 2: Convert to fraction form
    138,998.40/191,806.24 = 78,565.92/x
  3. Step 3: Cross multiply
    138,998.40x = 191,806.24 × 78,565.92
  4. Step 4: Simplify right side
    138,998.40x = 15,069,433,707.34
  5. Step 5: Solve for x
    x = 15,069,433,707.34/138,998.40
  6. Step 6: Final answer
    x = 108,414.44

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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.