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Finding the Fourth Proportional to 119,856.92, 165,340.78 and 74,517.71

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Solution

The fourth proportional to 119,856.92, 165,340.78 and 74,517.71 is: 102,796.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,856.92 : 165,340.78 = 74,517.71 : x
  2. Step 2: Convert to fraction form
    119,856.92/165,340.78 = 74,517.71/x
  3. Step 3: Cross multiply
    119,856.92x = 165,340.78 × 74,517.71
  4. Step 4: Simplify right side
    119,856.92x = 12,320,815,282.22
  5. Step 5: Solve for x
    x = 12,320,815,282.22/119,856.92
  6. Step 6: Final answer
    x = 102,796.03

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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.