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Finding the Fourth Proportional to 198,997.76, 274,621.83 and 108,358.70

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Solution

The fourth proportional to 198,997.76, 274,621.83 and 108,358.70 is: 149,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,997.76 : 274,621.83 = 108,358.70 : x
  2. Step 2: Convert to fraction form
    198,997.76/274,621.83 = 108,358.70/x
  3. Step 3: Cross multiply
    198,997.76x = 274,621.83 × 108,358.70
  4. Step 4: Simplify right side
    198,997.76x = 29,757,662,710.97
  5. Step 5: Solve for x
    x = 29,757,662,710.97/198,997.76
  6. Step 6: Final answer
    x = 149,537.67

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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.