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Finding the Fourth Proportional to 140,562.92, 193,977.51 and 76,901.78

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Solution

The fourth proportional to 140,562.92, 193,977.51 and 76,901.78 is: 106,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,562.92 : 193,977.51 = 76,901.78 : x
  2. Step 2: Convert to fraction form
    140,562.92/193,977.51 = 76,901.78/x
  3. Step 3: Cross multiply
    140,562.92x = 193,977.51 × 76,901.78
  4. Step 4: Simplify right side
    140,562.92x = 14,917,215,798.97
  5. Step 5: Solve for x
    x = 14,917,215,798.97/140,562.92
  6. Step 6: Final answer
    x = 106,124.83

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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.