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Finding the Fourth Proportional to 200,793.54, 300,788.62 and 120,787.38

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Solution

The fourth proportional to 200,793.54, 300,788.62 and 120,787.38 is: 180,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,793.54 : 300,788.62 = 120,787.38 : x
  2. Step 2: Convert to fraction form
    200,793.54/300,788.62 = 120,787.38/x
  3. Step 3: Cross multiply
    200,793.54x = 300,788.62 × 120,787.38
  4. Step 4: Simplify right side
    200,793.54x = 36,331,469,343.62
  5. Step 5: Solve for x
    x = 36,331,469,343.62/200,793.54
  6. Step 6: Final answer
    x = 180,939.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.