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Finding the Fourth Proportional to 206,729.46, 285,137.55 and 189,787.50

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Solution

The fourth proportional to 206,729.46, 285,137.55 and 189,787.50 is: 261,769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,729.46 : 285,137.55 = 189,787.50 : x
  2. Step 2: Convert to fraction form
    206,729.46/285,137.55 = 189,787.50/x
  3. Step 3: Cross multiply
    206,729.46x = 285,137.55 × 189,787.50
  4. Step 4: Simplify right side
    206,729.46x = 54,115,542,770.63
  5. Step 5: Solve for x
    x = 54,115,542,770.63/206,729.46
  6. Step 6: Final answer
    x = 261,769.86

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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.