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Finding the Fourth Proportional to 192,678.93, 288,819.74 and 80,424.47

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Solution

The fourth proportional to 192,678.93, 288,819.74 and 80,424.47 is: 120,553.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,678.93 : 288,819.74 = 80,424.47 : x
  2. Step 2: Convert to fraction form
    192,678.93/288,819.74 = 80,424.47/x
  3. Step 3: Cross multiply
    192,678.93x = 288,819.74 × 80,424.47
  4. Step 4: Simplify right side
    192,678.93x = 23,228,175,438.15
  5. Step 5: Solve for x
    x = 23,228,175,438.15/192,678.93
  6. Step 6: Final answer
    x = 120,553.79

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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.