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Finding the Fourth Proportional to 82,207.20, 123,310.80 and 73,021.80

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Solution

The fourth proportional to 82,207.20, 123,310.80 and 73,021.80 is: 109,532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,207.20 : 123,310.80 = 73,021.80 : x
  2. Step 2: Convert to fraction form
    82,207.20/123,310.80 = 73,021.80/x
  3. Step 3: Cross multiply
    82,207.20x = 123,310.80 × 73,021.80
  4. Step 4: Simplify right side
    82,207.20x = 9,004,376,575.44
  5. Step 5: Solve for x
    x = 9,004,376,575.44/82,207.20
  6. Step 6: Final answer
    x = 109,532.70

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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.