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Finding the Fourth Proportional to 67,800, 101,626.40 and 30,308.42

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Solution

The fourth proportional to 67,800, 101,626.40 and 30,308.42 is: 45,429.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,800 : 101,626.40 = 30,308.42 : x
  2. Step 2: Convert to fraction form
    67,800/101,626.40 = 30,308.42/x
  3. Step 3: Cross multiply
    67,800x = 101,626.40 × 30,308.42
  4. Step 4: Simplify right side
    67,800x = 3,080,135,614.29
  5. Step 5: Solve for x
    x = 3,080,135,614.29/67,800
  6. Step 6: Final answer
    x = 45,429.73

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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.