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Finding the Fourth Proportional to 76,831, 115,291.86 and 32,454.88

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Solution

The fourth proportional to 76,831, 115,291.86 and 32,454.88 is: 48,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,831 : 115,291.86 = 32,454.88 : x
  2. Step 2: Convert to fraction form
    76,831/115,291.86 = 32,454.88/x
  3. Step 3: Cross multiply
    76,831x = 115,291.86 × 32,454.88
  4. Step 4: Simplify right side
    76,831x = 3,741,783,481.28
  5. Step 5: Solve for x
    x = 3,741,783,481.28/76,831
  6. Step 6: Final answer
    x = 48,701.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.