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Finding the Fourth Proportional to 199,100, 274,758 and 109,676

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Solution

The fourth proportional to 199,100, 274,758 and 109,676 is: 151,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,100 : 274,758 = 109,676 : x
  2. Step 2: Convert to fraction form
    199,100/274,758 = 109,676/x
  3. Step 3: Cross multiply
    199,100x = 274,758 × 109,676
  4. Step 4: Simplify right side
    199,100x = 30,134,358,408
  5. Step 5: Solve for x
    x = 30,134,358,408/199,100
  6. Step 6: Final answer
    x = 151,352.88

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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.