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Finding the Fourth Proportional to 82,515.52, 123,775.68 and 20,186

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Solution

The fourth proportional to 82,515.52, 123,775.68 and 20,186 is: 30,279.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,515.52 : 123,775.68 = 20,186 : x
  2. Step 2: Convert to fraction form
    82,515.52/123,775.68 = 20,186/x
  3. Step 3: Cross multiply
    82,515.52x = 123,775.68 × 20,186
  4. Step 4: Simplify right side
    82,515.52x = 2,498,535,876.48
  5. Step 5: Solve for x
    x = 2,498,535,876.48/82,515.52
  6. Step 6: Final answer
    x = 30,279.59

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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.