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Finding the Fourth Proportional to 81,640.82, 122,465.78 and 25,488.68

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Solution

The fourth proportional to 81,640.82, 122,465.78 and 25,488.68 is: 38,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,640.82 : 122,465.78 = 25,488.68 : x
  2. Step 2: Convert to fraction form
    81,640.82/122,465.78 = 25,488.68/x
  3. Step 3: Cross multiply
    81,640.82x = 122,465.78 × 25,488.68
  4. Step 4: Simplify right side
    81,640.82x = 3,121,490,892.43
  5. Step 5: Solve for x
    x = 3,121,490,892.43/81,640.82
  6. Step 6: Final answer
    x = 38,234.44

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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.