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Finding the Fourth Proportional to 81,711.33, 122,573.21 and 31,769.97

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Solution

The fourth proportional to 81,711.33, 122,573.21 and 31,769.97 is: 47,657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,711.33 : 122,573.21 = 31,769.97 : x
  2. Step 2: Convert to fraction form
    81,711.33/122,573.21 = 31,769.97/x
  3. Step 3: Cross multiply
    81,711.33x = 122,573.21 × 31,769.97
  4. Step 4: Simplify right side
    81,711.33x = 3,894,147,045.65
  5. Step 5: Solve for x
    x = 3,894,147,045.65/81,711.33
  6. Step 6: Final answer
    x = 47,657.37

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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.