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Finding the Fourth Proportional to 198,899.78, 274,481.73 and 109,475.78

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Solution

The fourth proportional to 198,899.78, 274,481.73 and 109,475.78 is: 151,076.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,899.78 : 274,481.73 = 109,475.78 : x
  2. Step 2: Convert to fraction form
    198,899.78/274,481.73 = 109,475.78/x
  3. Step 3: Cross multiply
    198,899.78x = 274,481.73 × 109,475.78
  4. Step 4: Simplify right side
    198,899.78x = 30,049,101,487.50
  5. Step 5: Solve for x
    x = 30,049,101,487.50/198,899.78
  6. Step 6: Final answer
    x = 151,076.59

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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.