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Finding the Fourth Proportional to 122,906.31, 169,626.90 and 69,201.81

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Solution

The fourth proportional to 122,906.31, 169,626.90 and 69,201.81 is: 95,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,906.31 : 169,626.90 = 69,201.81 : x
  2. Step 2: Convert to fraction form
    122,906.31/169,626.90 = 69,201.81/x
  3. Step 3: Cross multiply
    122,906.31x = 169,626.90 × 69,201.81
  4. Step 4: Simplify right side
    122,906.31x = 11,738,488,504.69
  5. Step 5: Solve for x
    x = 11,738,488,504.69/122,906.31
  6. Step 6: Final answer
    x = 95,507.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.