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Finding the Fourth Proportional to 123,020.92, 169,796.46 and 80,554.78

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Solution

The fourth proportional to 123,020.92, 169,796.46 and 80,554.78 is: 111,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,020.92 : 169,796.46 = 80,554.78 : x
  2. Step 2: Convert to fraction form
    123,020.92/169,796.46 = 80,554.78/x
  3. Step 3: Cross multiply
    123,020.92x = 169,796.46 × 80,554.78
  4. Step 4: Simplify right side
    123,020.92x = 13,677,916,480.08
  5. Step 5: Solve for x
    x = 13,677,916,480.08/123,020.92
  6. Step 6: Final answer
    x = 111,183.66

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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.