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Finding the Fourth Proportional to 230,311.44, 345,397.41 and 80,523.81

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Solution

The fourth proportional to 230,311.44, 345,397.41 and 80,523.81 is: 120,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,311.44 : 345,397.41 = 80,523.81 : x
  2. Step 2: Convert to fraction form
    230,311.44/345,397.41 = 80,523.81/x
  3. Step 3: Cross multiply
    230,311.44x = 345,397.41 × 80,523.81
  4. Step 4: Simplify right side
    230,311.44x = 27,812,715,417.33
  5. Step 5: Solve for x
    x = 27,812,715,417.33/230,311.44
  6. Step 6: Final answer
    x = 120,761.33

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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.