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Finding the Fourth Proportional to 82,115.60, 123,027.60 and 76,866.80

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Solution

The fourth proportional to 82,115.60, 123,027.60 and 76,866.80 is: 115,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,115.60 : 123,027.60 = 76,866.80 : x
  2. Step 2: Convert to fraction form
    82,115.60/123,027.60 = 76,866.80/x
  3. Step 3: Cross multiply
    82,115.60x = 123,027.60 × 76,866.80
  4. Step 4: Simplify right side
    82,115.60x = 9,456,737,923.68
  5. Step 5: Solve for x
    x = 9,456,737,923.68/82,115.60
  6. Step 6: Final answer
    x = 115,163.72

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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.