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Finding the Fourth Proportional to 81,469.70, 122,168.10 and 37,073.60

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Solution

The fourth proportional to 81,469.70, 122,168.10 and 37,073.60 is: 55,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469.70 : 122,168.10 = 37,073.60 : x
  2. Step 2: Convert to fraction form
    81,469.70/122,168.10 = 37,073.60/x
  3. Step 3: Cross multiply
    81,469.70x = 122,168.10 × 37,073.60
  4. Step 4: Simplify right side
    81,469.70x = 4,529,211,272.16
  5. Step 5: Solve for x
    x = 4,529,211,272.16/81,469.70
  6. Step 6: Final answer
    x = 55,593.81

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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.