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Finding the Fourth Proportional to 81,791.78, 122,687.63 and 26,387.78

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Solution

The fourth proportional to 81,791.78, 122,687.63 and 26,387.78 is: 39,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,791.78 : 122,687.63 = 26,387.78 : x
  2. Step 2: Convert to fraction form
    81,791.78/122,687.63 = 26,387.78/x
  3. Step 3: Cross multiply
    81,791.78x = 122,687.63 × 26,387.78
  4. Step 4: Simplify right side
    81,791.78x = 3,237,454,189.16
  5. Step 5: Solve for x
    x = 3,237,454,189.16/81,791.78
  6. Step 6: Final answer
    x = 39,581.66

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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.