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Finding the Fourth Proportional to 266,902.76, 400,340.10 and 67,223

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Solution

The fourth proportional to 266,902.76, 400,340.10 and 67,223 is: 100,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,902.76 : 400,340.10 = 67,223 : x
  2. Step 2: Convert to fraction form
    266,902.76/400,340.10 = 67,223/x
  3. Step 3: Cross multiply
    266,902.76x = 400,340.10 × 67,223
  4. Step 4: Simplify right side
    266,902.76x = 26,912,062,542.30
  5. Step 5: Solve for x
    x = 26,912,062,542.30/266,902.76
  6. Step 6: Final answer
    x = 100,830.96

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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.