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Finding the Fourth Proportional to 128,211.52, 192,234 and 53,382.88

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Solution

The fourth proportional to 128,211.52, 192,234 and 53,382.88 is: 80,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,211.52 : 192,234 = 53,382.88 : x
  2. Step 2: Convert to fraction form
    128,211.52/192,234 = 53,382.88/x
  3. Step 3: Cross multiply
    128,211.52x = 192,234 × 53,382.88
  4. Step 4: Simplify right side
    128,211.52x = 10,262,004,553.92
  5. Step 5: Solve for x
    x = 10,262,004,553.92/128,211.52
  6. Step 6: Final answer
    x = 80,039.65

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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.