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Finding the Fourth Proportional to 192,310.78, 288,470.62 and 65,949.96

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Solution

The fourth proportional to 192,310.78, 288,470.62 and 65,949.96 is: 98,926.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,310.78 : 288,470.62 = 65,949.96 : x
  2. Step 2: Convert to fraction form
    192,310.78/288,470.62 = 65,949.96/x
  3. Step 3: Cross multiply
    192,310.78x = 288,470.62 × 65,949.96
  4. Step 4: Simplify right side
    192,310.78x = 19,024,625,850.18
  5. Step 5: Solve for x
    x = 19,024,625,850.18/192,310.78
  6. Step 6: Final answer
    x = 98,926.47

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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.