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Finding the Fourth Proportional to 55,170, 82,755.20 and 13,617

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Solution

The fourth proportional to 55,170, 82,755.20 and 13,617 is: 20,425.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,170 : 82,755.20 = 13,617 : x
  2. Step 2: Convert to fraction form
    55,170/82,755.20 = 13,617/x
  3. Step 3: Cross multiply
    55,170x = 82,755.20 × 13,617
  4. Step 4: Simplify right side
    55,170x = 1,126,877,592.44
  5. Step 5: Solve for x
    x = 1,126,877,592.44/55,170
  6. Step 6: Final answer
    x = 20,425.55

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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.