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Finding the Fourth Proportional to 198,635.76, 274,117.34 and 109,211.76

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Solution

The fourth proportional to 198,635.76, 274,117.34 and 109,211.76 is: 150,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,635.76 : 274,117.34 = 109,211.76 : x
  2. Step 2: Convert to fraction form
    198,635.76/274,117.34 = 109,211.76/x
  3. Step 3: Cross multiply
    198,635.76x = 274,117.34 × 109,211.76
  4. Step 4: Simplify right side
    198,635.76x = 29,936,837,147.92
  5. Step 5: Solve for x
    x = 29,936,837,147.92/198,635.76
  6. Step 6: Final answer
    x = 150,712.22

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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.