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Finding the Fourth Proportional to 230,422.32, 345,565.82 and 80,634.69

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Solution

The fourth proportional to 230,422.32, 345,565.82 and 80,634.69 is: 120,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,422.32 : 345,565.82 = 80,634.69 : x
  2. Step 2: Convert to fraction form
    230,422.32/345,565.82 = 80,634.69/x
  3. Step 3: Cross multiply
    230,422.32x = 345,565.82 × 80,634.69
  4. Step 4: Simplify right side
    230,422.32x = 27,864,592,745.10
  5. Step 5: Solve for x
    x = 27,864,592,745.10/230,422.32
  6. Step 6: Final answer
    x = 120,928.36

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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.