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Finding the Fourth Proportional to 55,732, 83,610.96 and 40,121.68

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Solution

The fourth proportional to 55,732, 83,610.96 and 40,121.68 is: 60,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,732 : 83,610.96 = 40,121.68 : x
  2. Step 2: Convert to fraction form
    55,732/83,610.96 = 40,121.68/x
  3. Step 3: Cross multiply
    55,732x = 83,610.96 × 40,121.68
  4. Step 4: Simplify right side
    55,732x = 3,354,612,181.61
  5. Step 5: Solve for x
    x = 3,354,612,181.61/55,732
  6. Step 6: Final answer
    x = 60,191.85

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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.