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Finding the Fourth Proportional to 82,770, 124,167.96 and 27,378.96

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Solution

The fourth proportional to 82,770, 124,167.96 and 27,378.96 is: 41,072.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,770 : 124,167.96 = 27,378.96 : x
  2. Step 2: Convert to fraction form
    82,770/124,167.96 = 27,378.96/x
  3. Step 3: Cross multiply
    82,770x = 124,167.96 × 27,378.96
  4. Step 4: Simplify right side
    82,770x = 3,399,589,610.12
  5. Step 5: Solve for x
    x = 3,399,589,610.12/82,770
  6. Step 6: Final answer
    x = 41,072.73

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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.