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Finding the Fourth Proportional to 71,974.76, 108,023.58 and 28,229.48

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Solution

The fourth proportional to 71,974.76, 108,023.58 and 28,229.48 is: 42,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,974.76 : 108,023.58 = 28,229.48 : x
  2. Step 2: Convert to fraction form
    71,974.76/108,023.58 = 28,229.48/x
  3. Step 3: Cross multiply
    71,974.76x = 108,023.58 × 28,229.48
  4. Step 4: Simplify right side
    71,974.76x = 3,049,449,491.14
  5. Step 5: Solve for x
    x = 3,049,449,491.14/71,974.76
  6. Step 6: Final answer
    x = 42,368.32

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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.