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Finding the Fourth Proportional to 81,091.44, 121,635.72 and 25,686

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Solution

The fourth proportional to 81,091.44, 121,635.72 and 25,686 is: 38,528.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,091.44 : 121,635.72 = 25,686 : x
  2. Step 2: Convert to fraction form
    81,091.44/121,635.72 = 25,686/x
  3. Step 3: Cross multiply
    81,091.44x = 121,635.72 × 25,686
  4. Step 4: Simplify right side
    81,091.44x = 3,124,335,103.92
  5. Step 5: Solve for x
    x = 3,124,335,103.92/81,091.44
  6. Step 6: Final answer
    x = 38,528.54

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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.