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Finding the Fourth Proportional to 52,149.20, 78,223.80 and 15,213.20

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Solution

The fourth proportional to 52,149.20, 78,223.80 and 15,213.20 is: 22,819.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,149.20 : 78,223.80 = 15,213.20 : x
  2. Step 2: Convert to fraction form
    52,149.20/78,223.80 = 15,213.20/x
  3. Step 3: Cross multiply
    52,149.20x = 78,223.80 × 15,213.20
  4. Step 4: Simplify right side
    52,149.20x = 1,190,034,314.16
  5. Step 5: Solve for x
    x = 1,190,034,314.16/52,149.20
  6. Step 6: Final answer
    x = 22,819.80

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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.