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Finding the Fourth Proportional to 206,659.62, 285,156.32 and 121,765.14

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Solution

The fourth proportional to 206,659.62, 285,156.32 and 121,765.14 is: 168,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,659.62 : 285,156.32 = 121,765.14 : x
  2. Step 2: Convert to fraction form
    206,659.62/285,156.32 = 121,765.14/x
  3. Step 3: Cross multiply
    206,659.62x = 285,156.32 × 121,765.14
  4. Step 4: Simplify right side
    206,659.62x = 34,722,098,617.86
  5. Step 5: Solve for x
    x = 34,722,098,617.86/206,659.62
  6. Step 6: Final answer
    x = 168,015.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.