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Finding the Fourth Proportional to 198,867, 274,437 and 109,443

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Solution

The fourth proportional to 198,867, 274,437 and 109,443 is: 151,031.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,867 : 274,437 = 109,443 : x
  2. Step 2: Convert to fraction form
    198,867/274,437 = 109,443/x
  3. Step 3: Cross multiply
    198,867x = 274,437 × 109,443
  4. Step 4: Simplify right side
    198,867x = 30,035,208,591
  5. Step 5: Solve for x
    x = 30,035,208,591/198,867
  6. Step 6: Final answer
    x = 151,031.64

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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.