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Finding the Fourth Proportional to 55,162.86, 82,744.31 and 13,609.86

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Solution

The fourth proportional to 55,162.86, 82,744.31 and 13,609.86 is: 20,414.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,162.86 : 82,744.31 = 13,609.86 : x
  2. Step 2: Convert to fraction form
    55,162.86/82,744.31 = 13,609.86/x
  3. Step 3: Cross multiply
    55,162.86x = 82,744.31 × 13,609.86
  4. Step 4: Simplify right side
    55,162.86x = 1,126,138,474.90
  5. Step 5: Solve for x
    x = 1,126,138,474.90/55,162.86
  6. Step 6: Final answer
    x = 20,414.79

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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.