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Finding the Fourth Proportional to 73,198.83, 109,720.47 and 28,819.47

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Solution

The fourth proportional to 73,198.83, 109,720.47 and 28,819.47 is: 43,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,198.83 : 109,720.47 = 28,819.47 : x
  2. Step 2: Convert to fraction form
    73,198.83/109,720.47 = 28,819.47/x
  3. Step 3: Cross multiply
    73,198.83x = 109,720.47 × 28,819.47
  4. Step 4: Simplify right side
    73,198.83x = 3,162,085,793.55
  5. Step 5: Solve for x
    x = 3,162,085,793.55/73,198.83
  6. Step 6: Final answer
    x = 43,198.58

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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.