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Finding the Fourth Proportional to 81,456.81, 122,157.87 and 36,449.97

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Solution

The fourth proportional to 81,456.81, 122,157.87 and 36,449.97 is: 54,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,456.81 : 122,157.87 = 36,449.97 : x
  2. Step 2: Convert to fraction form
    81,456.81/122,157.87 = 36,449.97/x
  3. Step 3: Cross multiply
    81,456.81x = 122,157.87 × 36,449.97
  4. Step 4: Simplify right side
    81,456.81x = 4,452,650,696.76
  5. Step 5: Solve for x
    x = 4,452,650,696.76/81,456.81
  6. Step 6: Final answer
    x = 54,662.72

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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.