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Finding the Fourth Proportional to 81,819.54, 122,715.54 and 22,661.19

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Solution

The fourth proportional to 81,819.54, 122,715.54 and 22,661.19 is: 33,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,819.54 : 122,715.54 = 22,661.19 : x
  2. Step 2: Convert to fraction form
    81,819.54/122,715.54 = 22,661.19/x
  3. Step 3: Cross multiply
    81,819.54x = 122,715.54 × 22,661.19
  4. Step 4: Simplify right side
    81,819.54x = 2,780,880,167.89
  5. Step 5: Solve for x
    x = 2,780,880,167.89/81,819.54
  6. Step 6: Final answer
    x = 33,987.97

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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.