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Finding the Fourth Proportional to 36,148.80, 54,151.20 and 31,819.20

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Solution

The fourth proportional to 36,148.80, 54,151.20 and 31,819.20 is: 47,665.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,148.80 : 54,151.20 = 31,819.20 : x
  2. Step 2: Convert to fraction form
    36,148.80/54,151.20 = 31,819.20/x
  3. Step 3: Cross multiply
    36,148.80x = 54,151.20 × 31,819.20
  4. Step 4: Simplify right side
    36,148.80x = 1,723,047,863.04
  5. Step 5: Solve for x
    x = 1,723,047,863.04/36,148.80
  6. Step 6: Final answer
    x = 47,665.42

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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.