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Finding the Fourth Proportional to 73,195.20, 109,799.30 and 30,491.20

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Solution

The fourth proportional to 73,195.20, 109,799.30 and 30,491.20 is: 45,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,195.20 : 109,799.30 = 30,491.20 : x
  2. Step 2: Convert to fraction form
    73,195.20/109,799.30 = 30,491.20/x
  3. Step 3: Cross multiply
    73,195.20x = 109,799.30 × 30,491.20
  4. Step 4: Simplify right side
    73,195.20x = 3,347,912,416.16
  5. Step 5: Solve for x
    x = 3,347,912,416.16/73,195.20
  6. Step 6: Final answer
    x = 45,739.51

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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.