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Finding the Fourth Proportional to 81,384.89, 122,109.46 and 25,229.41

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Solution

The fourth proportional to 81,384.89, 122,109.46 and 25,229.41 is: 37,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,384.89 : 122,109.46 = 25,229.41 : x
  2. Step 2: Convert to fraction form
    81,384.89/122,109.46 = 25,229.41/x
  3. Step 3: Cross multiply
    81,384.89x = 122,109.46 × 25,229.41
  4. Step 4: Simplify right side
    81,384.89x = 3,080,749,262.87
  5. Step 5: Solve for x
    x = 3,080,749,262.87/81,384.89
  6. Step 6: Final answer
    x = 37,854.07

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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.