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Finding the Fourth Proportional to 200,411.70, 300,787.65 and 82,167.90

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Solution

The fourth proportional to 200,411.70, 300,787.65 and 82,167.90 is: 123,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,411.70 : 300,787.65 = 82,167.90 : x
  2. Step 2: Convert to fraction form
    200,411.70/300,787.65 = 82,167.90/x
  3. Step 3: Cross multiply
    200,411.70x = 300,787.65 × 82,167.90
  4. Step 4: Simplify right side
    200,411.70x = 24,715,089,546.44
  5. Step 5: Solve for x
    x = 24,715,089,546.44/200,411.70
  6. Step 6: Final answer
    x = 123,321.59

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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.