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Finding the Fourth Proportional to 198,824, 274,377.12 and 109,400

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Solution

The fourth proportional to 198,824, 274,377.12 and 109,400 is: 150,972

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,824 : 274,377.12 = 109,400 : x
  2. Step 2: Convert to fraction form
    198,824/274,377.12 = 109,400/x
  3. Step 3: Cross multiply
    198,824x = 274,377.12 × 109,400
  4. Step 4: Simplify right side
    198,824x = 30,016,856,928
  5. Step 5: Solve for x
    x = 30,016,856,928/198,824
  6. Step 6: Final answer
    x = 150,972

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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.