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Finding the Fourth Proportional to 206,665.89, 309,710.13 and 111,691.32

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Solution

The fourth proportional to 206,665.89, 309,710.13 and 111,691.32 is: 167,380.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,665.89 : 309,710.13 = 111,691.32 : x
  2. Step 2: Convert to fraction form
    206,665.89/309,710.13 = 111,691.32/x
  3. Step 3: Cross multiply
    206,665.89x = 309,710.13 × 111,691.32
  4. Step 4: Simplify right side
    206,665.89x = 34,591,933,237.07
  5. Step 5: Solve for x
    x = 34,591,933,237.07/206,665.89
  6. Step 6: Final answer
    x = 167,380.95

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1.5x scale

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.