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Finding the Fourth Proportional to 81,843.17, 122,769.95 and 25,685.50

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Solution

The fourth proportional to 81,843.17, 122,769.95 and 25,685.50 is: 38,529.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843.17 : 122,769.95 = 25,685.50 : x
  2. Step 2: Convert to fraction form
    81,843.17/122,769.95 = 25,685.50/x
  3. Step 3: Cross multiply
    81,843.17x = 122,769.95 × 25,685.50
  4. Step 4: Simplify right side
    81,843.17x = 3,153,407,550.73
  5. Step 5: Solve for x
    x = 3,153,407,550.73/81,843.17
  6. Step 6: Final answer
    x = 38,529.88

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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.