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Finding the Fourth Proportional to 33,420.80, 50,106.90 and 13,689.20

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Solution

The fourth proportional to 33,420.80, 50,106.90 and 13,689.20 is: 20,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,420.80 : 50,106.90 = 13,689.20 : x
  2. Step 2: Convert to fraction form
    33,420.80/50,106.90 = 13,689.20/x
  3. Step 3: Cross multiply
    33,420.80x = 50,106.90 × 13,689.20
  4. Step 4: Simplify right side
    33,420.80x = 685,923,375.48
  5. Step 5: Solve for x
    x = 685,923,375.48/33,420.80
  6. Step 6: Final answer
    x = 20,523.85

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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.