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Finding the Fourth Proportional to 81,806.75, 122,711.64 and 25,645.60

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Solution

The fourth proportional to 81,806.75, 122,711.64 and 25,645.60 is: 38,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,806.75 : 122,711.64 = 25,645.60 : x
  2. Step 2: Convert to fraction form
    81,806.75/122,711.64 = 25,645.60/x
  3. Step 3: Cross multiply
    81,806.75x = 122,711.64 × 25,645.60
  4. Step 4: Simplify right side
    81,806.75x = 3,147,013,634.78
  5. Step 5: Solve for x
    x = 3,147,013,634.78/81,806.75
  6. Step 6: Final answer
    x = 38,468.87

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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.