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Finding the Fourth Proportional to 198,578.72, 274,060.24 and 113,723.68

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Solution

The fourth proportional to 198,578.72, 274,060.24 and 113,723.68 is: 156,951.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,578.72 : 274,060.24 = 113,723.68 : x
  2. Step 2: Convert to fraction form
    198,578.72/274,060.24 = 113,723.68/x
  3. Step 3: Cross multiply
    198,578.72x = 274,060.24 × 113,723.68
  4. Step 4: Simplify right side
    198,578.72x = 31,167,139,034.48
  5. Step 5: Solve for x
    x = 31,167,139,034.48/198,578.72
  6. Step 6: Final answer
    x = 156,951.05

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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.