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Finding the Fourth Proportional to 180,578.30, 270,910.66 and 75,338.78

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Solution

The fourth proportional to 180,578.30, 270,910.66 and 75,338.78 is: 113,026.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,578.30 : 270,910.66 = 75,338.78 : x
  2. Step 2: Convert to fraction form
    180,578.30/270,910.66 = 75,338.78/x
  3. Step 3: Cross multiply
    180,578.30x = 270,910.66 × 75,338.78
  4. Step 4: Simplify right side
    180,578.30x = 20,410,078,613.39
  5. Step 5: Solve for x
    x = 20,410,078,613.39/180,578.30
  6. Step 6: Final answer
    x = 113,026.20

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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.