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Finding the Fourth Proportional to 138,706.46, 191,414.85 and 78,289.78

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Solution

The fourth proportional to 138,706.46, 191,414.85 and 78,289.78 is: 108,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,706.46 : 191,414.85 = 78,289.78 : x
  2. Step 2: Convert to fraction form
    138,706.46/191,414.85 = 78,289.78/x
  3. Step 3: Cross multiply
    138,706.46x = 191,414.85 × 78,289.78
  4. Step 4: Simplify right side
    138,706.46x = 14,985,825,538.16
  5. Step 5: Solve for x
    x = 14,985,825,538.16/138,706.46
  6. Step 6: Final answer
    x = 108,039.85

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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.