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Finding the Fourth Proportional to 206,599.26, 309,920.49 and 73,491.78

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Solution

The fourth proportional to 206,599.26, 309,920.49 and 73,491.78 is: 110,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,599.26 : 309,920.49 = 73,491.78 : x
  2. Step 2: Convert to fraction form
    206,599.26/309,920.49 = 73,491.78/x
  3. Step 3: Cross multiply
    206,599.26x = 309,920.49 × 73,491.78
  4. Step 4: Simplify right side
    206,599.26x = 22,776,608,468.57
  5. Step 5: Solve for x
    x = 22,776,608,468.57/206,599.26
  6. Step 6: Final answer
    x = 110,245.35

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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.