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Finding the Fourth Proportional to 200,726.70, 300,834.90 and 82,264.20

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Solution

The fourth proportional to 200,726.70, 300,834.90 and 82,264.20 is: 123,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,726.70 : 300,834.90 = 82,264.20 : x
  2. Step 2: Convert to fraction form
    200,726.70/300,834.90 = 82,264.20/x
  3. Step 3: Cross multiply
    200,726.70x = 300,834.90 × 82,264.20
  4. Step 4: Simplify right side
    200,726.70x = 24,747,942,380.58
  5. Step 5: Solve for x
    x = 24,747,942,380.58/200,726.70
  6. Step 6: Final answer
    x = 123,291.73

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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.