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Finding the Fourth Proportional to 198,662, 274,153.56 and 109,238

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Solution

The fourth proportional to 198,662, 274,153.56 and 109,238 is: 150,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,662 : 274,153.56 = 109,238 : x
  2. Step 2: Convert to fraction form
    198,662/274,153.56 = 109,238/x
  3. Step 3: Cross multiply
    198,662x = 274,153.56 × 109,238
  4. Step 4: Simplify right side
    198,662x = 29,947,986,587.28
  5. Step 5: Solve for x
    x = 29,947,986,587.28/198,662
  6. Step 6: Final answer
    x = 150,748.44

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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.