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Finding the Fourth Proportional to 198,927, 274,519.80 and 109,503

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Solution

The fourth proportional to 198,927, 274,519.80 and 109,503 is: 151,114.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,927 : 274,519.80 = 109,503 : x
  2. Step 2: Convert to fraction form
    198,927/274,519.80 = 109,503/x
  3. Step 3: Cross multiply
    198,927x = 274,519.80 × 109,503
  4. Step 4: Simplify right side
    198,927x = 30,060,741,659.40
  5. Step 5: Solve for x
    x = 30,060,741,659.40/198,927
  6. Step 6: Final answer
    x = 151,114.44

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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.