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Finding the Fourth Proportional to 198,978, 274,772.09 and 126,404.33

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Solution

The fourth proportional to 198,978, 274,772.09 and 126,404.33 is: 174,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,978 : 274,772.09 = 126,404.33 : x
  2. Step 2: Convert to fraction form
    198,978/274,772.09 = 126,404.33/x
  3. Step 3: Cross multiply
    198,978x = 274,772.09 × 126,404.33
  4. Step 4: Simplify right side
    198,978x = 34,732,379,933.27
  5. Step 5: Solve for x
    x = 34,732,379,933.27/198,978
  6. Step 6: Final answer
    x = 174,553.87

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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.