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Finding the Fourth Proportional to 81,811.92, 122,640.12 and 52,146.48

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Solution

The fourth proportional to 81,811.92, 122,640.12 and 52,146.48 is: 78,170.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,811.92 : 122,640.12 = 52,146.48 : x
  2. Step 2: Convert to fraction form
    81,811.92/122,640.12 = 52,146.48/x
  3. Step 3: Cross multiply
    81,811.92x = 122,640.12 × 52,146.48
  4. Step 4: Simplify right side
    81,811.92x = 6,395,250,564.78
  5. Step 5: Solve for x
    x = 6,395,250,564.78/81,811.92
  6. Step 6: Final answer
    x = 78,170.16

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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.