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Finding the Fourth Proportional to 206,546.01, 285,043.87 and 129,068.46

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Solution

The fourth proportional to 206,546.01, 285,043.87 and 129,068.46 is: 178,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,546.01 : 285,043.87 = 129,068.46 : x
  2. Step 2: Convert to fraction form
    206,546.01/285,043.87 = 129,068.46/x
  3. Step 3: Cross multiply
    206,546.01x = 285,043.87 × 129,068.46
  4. Step 4: Simplify right side
    206,546.01x = 36,790,171,262.78
  5. Step 5: Solve for x
    x = 36,790,171,262.78/206,546.01
  6. Step 6: Final answer
    x = 178,120.95

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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.