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Finding the Fourth Proportional to 81,855.68, 122,785.20 and 25,694.64

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Solution

The fourth proportional to 81,855.68, 122,785.20 and 25,694.64 is: 38,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,855.68 : 122,785.20 = 25,694.64 : x
  2. Step 2: Convert to fraction form
    81,855.68/122,785.20 = 25,694.64/x
  3. Step 3: Cross multiply
    81,855.68x = 122,785.20 × 25,694.64
  4. Step 4: Simplify right side
    81,855.68x = 3,154,921,511.33
  5. Step 5: Solve for x
    x = 3,154,921,511.33/81,855.68
  6. Step 6: Final answer
    x = 38,542.49

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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.