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Finding the Fourth Proportional to 321,766.78, 482,650.17 and 100,168.06

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Solution

The fourth proportional to 321,766.78, 482,650.17 and 100,168.06 is: 150,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,766.78 : 482,650.17 = 100,168.06 : x
  2. Step 2: Convert to fraction form
    321,766.78/482,650.17 = 100,168.06/x
  3. Step 3: Cross multiply
    321,766.78x = 482,650.17 × 100,168.06
  4. Step 4: Simplify right side
    321,766.78x = 48,346,131,187.57
  5. Step 5: Solve for x
    x = 48,346,131,187.57/321,766.78
  6. Step 6: Final answer
    x = 150,252.09

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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.