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Finding the Fourth Proportional to 33,176.80, 49,765.20 and 13,445.20

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Solution

The fourth proportional to 33,176.80, 49,765.20 and 13,445.20 is: 20,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,176.80 : 49,765.20 = 13,445.20 : x
  2. Step 2: Convert to fraction form
    33,176.80/49,765.20 = 13,445.20/x
  3. Step 3: Cross multiply
    33,176.80x = 49,765.20 × 13,445.20
  4. Step 4: Simplify right side
    33,176.80x = 669,103,067.04
  5. Step 5: Solve for x
    x = 669,103,067.04/33,176.80
  6. Step 6: Final answer
    x = 20,167.80

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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.