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Finding the Fourth Proportional to 123,382.64, 170,268.12 and 66,794.02

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Solution

The fourth proportional to 123,382.64, 170,268.12 and 66,794.02 is: 92,175.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,382.64 : 170,268.12 = 66,794.02 : x
  2. Step 2: Convert to fraction form
    123,382.64/170,268.12 = 66,794.02/x
  3. Step 3: Cross multiply
    123,382.64x = 170,268.12 × 66,794.02
  4. Step 4: Simplify right side
    123,382.64x = 11,372,891,786.97
  5. Step 5: Solve for x
    x = 11,372,891,786.97/123,382.64
  6. Step 6: Final answer
    x = 92,175.78

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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.