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Finding the Fourth Proportional to 230,375.92, 345,581.40 and 78,525.84

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Solution

The fourth proportional to 230,375.92, 345,581.40 and 78,525.84 is: 117,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,375.92 : 345,581.40 = 78,525.84 : x
  2. Step 2: Convert to fraction form
    230,375.92/345,581.40 = 78,525.84/x
  3. Step 3: Cross multiply
    230,375.92x = 345,581.40 × 78,525.84
  4. Step 4: Simplify right side
    230,375.92x = 27,137,069,723.38
  5. Step 5: Solve for x
    x = 27,137,069,723.38/230,375.92
  6. Step 6: Final answer
    x = 117,794.73

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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.