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Finding the Fourth Proportional to 198,728, 274,245.36 and 108,083.96

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Solution

The fourth proportional to 198,728, 274,245.36 and 108,083.96 is: 149,156.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,728 : 274,245.36 = 108,083.96 : x
  2. Step 2: Convert to fraction form
    198,728/274,245.36 = 108,083.96/x
  3. Step 3: Cross multiply
    198,728x = 274,245.36 × 108,083.96
  4. Step 4: Simplify right side
    198,728x = 29,641,524,520.43
  5. Step 5: Solve for x
    x = 29,641,524,520.43/198,728
  6. Step 6: Final answer
    x = 149,156.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.