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Finding the Fourth Proportional to 203,876.76, 281,020.14 and 152,105.88

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Solution

The fourth proportional to 203,876.76, 281,020.14 and 152,105.88 is: 209,660.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,876.76 : 281,020.14 = 152,105.88 : x
  2. Step 2: Convert to fraction form
    203,876.76/281,020.14 = 152,105.88/x
  3. Step 3: Cross multiply
    203,876.76x = 281,020.14 × 152,105.88
  4. Step 4: Simplify right side
    203,876.76x = 42,744,815,692.42
  5. Step 5: Solve for x
    x = 42,744,815,692.42/203,876.76
  6. Step 6: Final answer
    x = 209,660.07

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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.