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Finding the Fourth Proportional to 81,180, 121,771.82 and 27,871.88

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Solution

The fourth proportional to 81,180, 121,771.82 and 27,871.88 is: 41,808.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,180 : 121,771.82 = 27,871.88 : x
  2. Step 2: Convert to fraction form
    81,180/121,771.82 = 27,871.88/x
  3. Step 3: Cross multiply
    81,180x = 121,771.82 × 27,871.88
  4. Step 4: Simplify right side
    81,180x = 3,394,009,015.24
  5. Step 5: Solve for x
    x = 3,394,009,015.24/81,180
  6. Step 6: Final answer
    x = 41,808.44

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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.