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Finding the Fourth Proportional to 86,634.82, 129,968.43 and 27,454.60

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Solution

The fourth proportional to 86,634.82, 129,968.43 and 27,454.60 is: 41,187.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,634.82 : 129,968.43 = 27,454.60 : x
  2. Step 2: Convert to fraction form
    86,634.82/129,968.43 = 27,454.60/x
  3. Step 3: Cross multiply
    86,634.82x = 129,968.43 × 27,454.60
  4. Step 4: Simplify right side
    86,634.82x = 3,568,231,258.28
  5. Step 5: Solve for x
    x = 3,568,231,258.28/86,634.82
  6. Step 6: Final answer
    x = 41,187.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.