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Finding the Fourth Proportional to 198,774, 274,308.12 and 109,350

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Solution

The fourth proportional to 198,774, 274,308.12 and 109,350 is: 150,903

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,774 : 274,308.12 = 109,350 : x
  2. Step 2: Convert to fraction form
    198,774/274,308.12 = 109,350/x
  3. Step 3: Cross multiply
    198,774x = 274,308.12 × 109,350
  4. Step 4: Simplify right side
    198,774x = 29,995,592,922
  5. Step 5: Solve for x
    x = 29,995,592,922/198,774
  6. Step 6: Final answer
    x = 150,903

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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.