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Finding the Fourth Proportional to 76,789.64, 115,200.12 and 43,524.56

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Solution

The fourth proportional to 76,789.64, 115,200.12 and 43,524.56 is: 65,295.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,789.64 : 115,200.12 = 43,524.56 : x
  2. Step 2: Convert to fraction form
    76,789.64/115,200.12 = 43,524.56/x
  3. Step 3: Cross multiply
    76,789.64x = 115,200.12 × 43,524.56
  4. Step 4: Simplify right side
    76,789.64x = 5,014,033,958.95
  5. Step 5: Solve for x
    x = 5,014,033,958.95/76,789.64
  6. Step 6: Final answer
    x = 65,295.71

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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.