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Finding the Fourth Proportional to 81,125.44, 121,691.50 and 27,854

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Solution

The fourth proportional to 81,125.44, 121,691.50 and 27,854 is: 41,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,125.44 : 121,691.50 = 27,854 : x
  2. Step 2: Convert to fraction form
    81,125.44/121,691.50 = 27,854/x
  3. Step 3: Cross multiply
    81,125.44x = 121,691.50 × 27,854
  4. Step 4: Simplify right side
    81,125.44x = 3,389,595,041
  5. Step 5: Solve for x
    x = 3,389,595,041/81,125.44
  6. Step 6: Final answer
    x = 41,782.15

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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.