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Finding the Fourth Proportional to 198,940.56, 298,414 and 110,754.58

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Solution

The fourth proportional to 198,940.56, 298,414 and 110,754.58 is: 166,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,940.56 : 298,414 = 110,754.58 : x
  2. Step 2: Convert to fraction form
    198,940.56/298,414 = 110,754.58/x
  3. Step 3: Cross multiply
    198,940.56x = 298,414 × 110,754.58
  4. Step 4: Simplify right side
    198,940.56x = 33,050,717,236.12
  5. Step 5: Solve for x
    x = 33,050,717,236.12/198,940.56
  6. Step 6: Final answer
    x = 166,133.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.