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Finding the Fourth Proportional to 199,234.50, 274,960.89 and 109,827.78

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Solution

The fourth proportional to 199,234.50, 274,960.89 and 109,827.78 is: 151,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,234.50 : 274,960.89 = 109,827.78 : x
  2. Step 2: Convert to fraction form
    199,234.50/274,960.89 = 109,827.78/x
  3. Step 3: Cross multiply
    199,234.50x = 274,960.89 × 109,827.78
  4. Step 4: Simplify right side
    199,234.50x = 30,198,344,135.52
  5. Step 5: Solve for x
    x = 30,198,344,135.52/199,234.50
  6. Step 6: Final answer
    x = 151,571.86

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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.