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Finding the Fourth Proportional to 110,383.98, 165,067.29 and 81,974.58

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Solution

The fourth proportional to 110,383.98, 165,067.29 and 81,974.58 is: 122,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,383.98 : 165,067.29 = 81,974.58 : x
  2. Step 2: Convert to fraction form
    110,383.98/165,067.29 = 81,974.58/x
  3. Step 3: Cross multiply
    110,383.98x = 165,067.29 × 81,974.58
  4. Step 4: Simplify right side
    110,383.98x = 13,531,321,769.49
  5. Step 5: Solve for x
    x = 13,531,321,769.49/110,383.98
  6. Step 6: Final answer
    x = 122,584.11

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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.