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Finding the Fourth Proportional to 206,668.62, 285,168.72 and 121,774.14

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Solution

The fourth proportional to 206,668.62, 285,168.72 and 121,774.14 is: 168,028.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,668.62 : 285,168.72 = 121,774.14 : x
  2. Step 2: Convert to fraction form
    206,668.62/285,168.72 = 121,774.14/x
  3. Step 3: Cross multiply
    206,668.62x = 285,168.72 × 121,774.14
  4. Step 4: Simplify right side
    206,668.62x = 34,726,175,632.90
  5. Step 5: Solve for x
    x = 34,726,175,632.90/206,668.62
  6. Step 6: Final answer
    x = 168,028.29

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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.