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Finding the Fourth Proportional to 123,843.26, 170,974.56 and 81,524.81

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Solution

The fourth proportional to 123,843.26, 170,974.56 and 81,524.81 is: 112,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,843.26 : 170,974.56 = 81,524.81 : x
  2. Step 2: Convert to fraction form
    123,843.26/170,974.56 = 81,524.81/x
  3. Step 3: Cross multiply
    123,843.26x = 170,974.56 × 81,524.81
  4. Step 4: Simplify right side
    123,843.26x = 13,938,669,251.99
  5. Step 5: Solve for x
    x = 13,938,669,251.99/123,843.26
  6. Step 6: Final answer
    x = 112,550.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.