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Finding the Fourth Proportional to 206,414.61, 309,608.82 and 73,277.34

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Solution

The fourth proportional to 206,414.61, 309,608.82 and 73,277.34 is: 109,911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,414.61 : 309,608.82 = 73,277.34 : x
  2. Step 2: Convert to fraction form
    206,414.61/309,608.82 = 73,277.34/x
  3. Step 3: Cross multiply
    206,414.61x = 309,608.82 × 73,277.34
  4. Step 4: Simplify right side
    206,414.61x = 22,687,310,770.14
  5. Step 5: Solve for x
    x = 22,687,310,770.14/206,414.61
  6. Step 6: Final answer
    x = 109,911.36

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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.