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Finding the Fourth Proportional to 206,488.40, 309,608.68 and 71,508

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Solution

The fourth proportional to 206,488.40, 309,608.68 and 71,508 is: 107,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,488.40 : 309,608.68 = 71,508 : x
  2. Step 2: Convert to fraction form
    206,488.40/309,608.68 = 71,508/x
  3. Step 3: Cross multiply
    206,488.40x = 309,608.68 × 71,508
  4. Step 4: Simplify right side
    206,488.40x = 22,139,497,489.44
  5. Step 5: Solve for x
    x = 22,139,497,489.44/206,488.40
  6. Step 6: Final answer
    x = 107,219.09

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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.