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Finding the Fourth Proportional to 321,767.78, 482,651.67 and 100,169.06

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Solution

The fourth proportional to 321,767.78, 482,651.67 and 100,169.06 is: 150,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,767.78 : 482,651.67 = 100,169.06 : x
  2. Step 2: Convert to fraction form
    321,767.78/482,651.67 = 100,169.06/x
  3. Step 3: Cross multiply
    321,767.78x = 482,651.67 × 100,169.06
  4. Step 4: Simplify right side
    321,767.78x = 48,346,764,091.33
  5. Step 5: Solve for x
    x = 48,346,764,091.33/321,767.78
  6. Step 6: Final answer
    x = 150,253.59

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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.