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Finding the Fourth Proportional to 206,757.70, 285,291.50 and 121,891.16

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Solution

The fourth proportional to 206,757.70, 285,291.50 and 121,891.16 is: 168,189.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,757.70 : 285,291.50 = 121,891.16 : x
  2. Step 2: Convert to fraction form
    206,757.70/285,291.50 = 121,891.16/x
  3. Step 3: Cross multiply
    206,757.70x = 285,291.50 × 121,891.16
  4. Step 4: Simplify right side
    206,757.70x = 34,774,511,873.14
  5. Step 5: Solve for x
    x = 34,774,511,873.14/206,757.70
  6. Step 6: Final answer
    x = 168,189.68

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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.