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Finding the Fourth Proportional to 51,287.20, 76,930.80 and 35,540.80

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Solution

The fourth proportional to 51,287.20, 76,930.80 and 35,540.80 is: 53,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,287.20 : 76,930.80 = 35,540.80 : x
  2. Step 2: Convert to fraction form
    51,287.20/76,930.80 = 35,540.80/x
  3. Step 3: Cross multiply
    51,287.20x = 76,930.80 × 35,540.80
  4. Step 4: Simplify right side
    51,287.20x = 2,734,182,176.64
  5. Step 5: Solve for x
    x = 2,734,182,176.64/51,287.20
  6. Step 6: Final answer
    x = 53,311.20

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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.