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Finding the Fourth Proportional to 206,769.14, 285,375.22 and 142,184.30

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Solution

The fourth proportional to 206,769.14, 285,375.22 and 142,184.30 is: 196,237.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,769.14 : 285,375.22 = 142,184.30 : x
  2. Step 2: Convert to fraction form
    206,769.14/285,375.22 = 142,184.30/x
  3. Step 3: Cross multiply
    206,769.14x = 285,375.22 × 142,184.30
  4. Step 4: Simplify right side
    206,769.14x = 40,575,874,110.71
  5. Step 5: Solve for x
    x = 40,575,874,110.71/206,769.14
  6. Step 6: Final answer
    x = 196,237.57

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1.5x scale

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.