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Finding the Fourth Proportional to 81,057.92, 121,503.74 and 31,124.57

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Solution

The fourth proportional to 81,057.92, 121,503.74 and 31,124.57 is: 46,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,057.92 : 121,503.74 = 31,124.57 : x
  2. Step 2: Convert to fraction form
    81,057.92/121,503.74 = 31,124.57/x
  3. Step 3: Cross multiply
    81,057.92x = 121,503.74 × 31,124.57
  4. Step 4: Simplify right side
    81,057.92x = 3,781,750,897.75
  5. Step 5: Solve for x
    x = 3,781,750,897.75/81,057.92
  6. Step 6: Final answer
    x = 46,654.92

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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.