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Finding the Fourth Proportional to 198,622.53, 297,839.88 and 72,174.66

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Solution

The fourth proportional to 198,622.53, 297,839.88 and 72,174.66 is: 108,227.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,622.53 : 297,839.88 = 72,174.66 : x
  2. Step 2: Convert to fraction form
    198,622.53/297,839.88 = 72,174.66/x
  3. Step 3: Cross multiply
    198,622.53x = 297,839.88 × 72,174.66
  4. Step 4: Simplify right side
    198,622.53x = 21,496,492,073.44
  5. Step 5: Solve for x
    x = 21,496,492,073.44/198,622.53
  6. Step 6: Final answer
    x = 108,227.86

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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.