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Finding the Fourth Proportional to 192,121.50, 288,183.87 and 67,462.50

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Solution

The fourth proportional to 192,121.50, 288,183.87 and 67,462.50 is: 101,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,121.50 : 288,183.87 = 67,462.50 : x
  2. Step 2: Convert to fraction form
    192,121.50/288,183.87 = 67,462.50/x
  3. Step 3: Cross multiply
    192,121.50x = 288,183.87 × 67,462.50
  4. Step 4: Simplify right side
    192,121.50x = 19,441,604,329.88
  5. Step 5: Solve for x
    x = 19,441,604,329.88/192,121.50
  6. Step 6: Final answer
    x = 101,194.32

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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.