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Finding the Fourth Proportional to 144,990.78, 200,086.87 and 80,469.76

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Solution

The fourth proportional to 144,990.78, 200,086.87 and 80,469.76 is: 111,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,990.78 : 200,086.87 = 80,469.76 : x
  2. Step 2: Convert to fraction form
    144,990.78/200,086.87 = 80,469.76/x
  3. Step 3: Cross multiply
    144,990.78x = 200,086.87 × 80,469.76
  4. Step 4: Simplify right side
    144,990.78x = 16,100,942,107.65
  5. Step 5: Solve for x
    x = 16,100,942,107.65/144,990.78
  6. Step 6: Final answer
    x = 111,048.04

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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.