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Finding the Fourth Proportional to 76,992.60, 115,481.34 and 52,191.96

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Solution

The fourth proportional to 76,992.60, 115,481.34 and 52,191.96 is: 78,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,992.60 : 115,481.34 = 52,191.96 : x
  2. Step 2: Convert to fraction form
    76,992.60/115,481.34 = 52,191.96/x
  3. Step 3: Cross multiply
    76,992.60x = 115,481.34 × 52,191.96
  4. Step 4: Simplify right side
    76,992.60x = 6,027,197,478.03
  5. Step 5: Solve for x
    x = 6,027,197,478.03/76,992.60
  6. Step 6: Final answer
    x = 78,282.82

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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.