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Finding the Fourth Proportional to 206,511.48, 309,879.90 and 80,156.70

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Solution

The fourth proportional to 206,511.48, 309,879.90 and 80,156.70 is: 120,278.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,511.48 : 309,879.90 = 80,156.70 : x
  2. Step 2: Convert to fraction form
    206,511.48/309,879.90 = 80,156.70/x
  3. Step 3: Cross multiply
    206,511.48x = 309,879.90 × 80,156.70
  4. Step 4: Simplify right side
    206,511.48x = 24,838,950,180.33
  5. Step 5: Solve for x
    x = 24,838,950,180.33/206,511.48
  6. Step 6: Final answer
    x = 120,278.79

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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.