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Finding the Fourth Proportional to 198,644.78, 274,135.17 and 108,006.86

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Solution

The fourth proportional to 198,644.78, 274,135.17 and 108,006.86 is: 149,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,644.78 : 274,135.17 = 108,006.86 : x
  2. Step 2: Convert to fraction form
    198,644.78/274,135.17 = 108,006.86/x
  3. Step 3: Cross multiply
    198,644.78x = 274,135.17 × 108,006.86
  4. Step 4: Simplify right side
    198,644.78x = 29,608,478,927.27
  5. Step 5: Solve for x
    x = 29,608,478,927.27/198,644.78
  6. Step 6: Final answer
    x = 149,052.39

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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.