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Finding the Fourth Proportional to 100,171.97, 138,231.22 and 54,850.49

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Solution

The fourth proportional to 100,171.97, 138,231.22 and 54,850.49 is: 75,690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,171.97 : 138,231.22 = 54,850.49 : x
  2. Step 2: Convert to fraction form
    100,171.97/138,231.22 = 54,850.49/x
  3. Step 3: Cross multiply
    100,171.97x = 138,231.22 × 54,850.49
  4. Step 4: Simplify right side
    100,171.97x = 7,582,050,449.26
  5. Step 5: Solve for x
    x = 7,582,050,449.26/100,171.97
  6. Step 6: Final answer
    x = 75,690.34

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1.5x scale

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.