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Finding the Fourth Proportional to 55,165.50, 82,761.21 and 18,229.50

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Solution

The fourth proportional to 55,165.50, 82,761.21 and 18,229.50 is: 27,348.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165.50 : 82,761.21 = 18,229.50 : x
  2. Step 2: Convert to fraction form
    55,165.50/82,761.21 = 18,229.50/x
  3. Step 3: Cross multiply
    55,165.50x = 82,761.21 × 18,229.50
  4. Step 4: Simplify right side
    55,165.50x = 1,508,695,477.70
  5. Step 5: Solve for x
    x = 1,508,695,477.70/55,165.50
  6. Step 6: Final answer
    x = 27,348.53

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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.