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Finding the Fourth Proportional to 123,057.78, 169,819.81 and 66,469.16

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Solution

The fourth proportional to 123,057.78, 169,819.81 and 66,469.16 is: 91,727.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,057.78 : 169,819.81 = 66,469.16 : x
  2. Step 2: Convert to fraction form
    123,057.78/169,819.81 = 66,469.16/x
  3. Step 3: Cross multiply
    123,057.78x = 169,819.81 × 66,469.16
  4. Step 4: Simplify right side
    123,057.78x = 11,287,779,235.98
  5. Step 5: Solve for x
    x = 11,287,779,235.98/123,057.78
  6. Step 6: Final answer
    x = 91,727.47

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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.