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Finding the Fourth Proportional to 81,382.48, 122,092.76 and 25,219.65

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Solution

The fourth proportional to 81,382.48, 122,092.76 and 25,219.65 is: 37,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,382.48 : 122,092.76 = 25,219.65 : x
  2. Step 2: Convert to fraction form
    81,382.48/122,092.76 = 25,219.65/x
  3. Step 3: Cross multiply
    81,382.48x = 122,092.76 × 25,219.65
  4. Step 4: Simplify right side
    81,382.48x = 3,079,136,674.73
  5. Step 5: Solve for x
    x = 3,079,136,674.73/81,382.48
  6. Step 6: Final answer
    x = 37,835.38

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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.