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Finding the Fourth Proportional to 81,679.38, 122,550.75 and 31,794.51

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Solution

The fourth proportional to 81,679.38, 122,550.75 and 31,794.51 is: 47,704.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,679.38 : 122,550.75 = 31,794.51 : x
  2. Step 2: Convert to fraction form
    81,679.38/122,550.75 = 31,794.51/x
  3. Step 3: Cross multiply
    81,679.38x = 122,550.75 × 31,794.51
  4. Step 4: Simplify right side
    81,679.38x = 3,896,441,046.38
  5. Step 5: Solve for x
    x = 3,896,441,046.38/81,679.38
  6. Step 6: Final answer
    x = 47,704.10

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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.