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Finding the Fourth Proportional to 81,169.92, 121,753.56 and 31,260.96

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Solution

The fourth proportional to 81,169.92, 121,753.56 and 31,260.96 is: 46,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,169.92 : 121,753.56 = 31,260.96 : x
  2. Step 2: Convert to fraction form
    81,169.92/121,753.56 = 31,260.96/x
  3. Step 3: Cross multiply
    81,169.92x = 121,753.56 × 31,260.96
  4. Step 4: Simplify right side
    81,169.92x = 3,806,133,169.02
  5. Step 5: Solve for x
    x = 3,806,133,169.02/81,169.92
  6. Step 6: Final answer
    x = 46,890.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.