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Finding the Fourth Proportional to 198,689.39, 274,198.57 and 113,822.85

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Solution

The fourth proportional to 198,689.39, 274,198.57 and 113,822.85 is: 157,079.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,689.39 : 274,198.57 = 113,822.85 : x
  2. Step 2: Convert to fraction form
    198,689.39/274,198.57 = 113,822.85/x
  3. Step 3: Cross multiply
    198,689.39x = 274,198.57 × 113,822.85
  4. Step 4: Simplify right side
    198,689.39x = 31,210,062,819.71
  5. Step 5: Solve for x
    x = 31,210,062,819.71/198,689.39
  6. Step 6: Final answer
    x = 157,079.67

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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.