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Finding the Fourth Proportional to 81,344.92, 122,004.78 and 22,185.32

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Solution

The fourth proportional to 81,344.92, 122,004.78 and 22,185.32 is: 33,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,344.92 : 122,004.78 = 22,185.32 : x
  2. Step 2: Convert to fraction form
    81,344.92/122,004.78 = 22,185.32/x
  3. Step 3: Cross multiply
    81,344.92x = 122,004.78 × 22,185.32
  4. Step 4: Simplify right side
    81,344.92x = 2,706,715,085.83
  5. Step 5: Solve for x
    x = 2,706,715,085.83/81,344.92
  6. Step 6: Final answer
    x = 33,274.54

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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.