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Finding the Fourth Proportional to 81,908.97, 122,869.01 and 27,851.64

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Solution

The fourth proportional to 81,908.97, 122,869.01 and 27,851.64 is: 41,779.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,908.97 : 122,869.01 = 27,851.64 : x
  2. Step 2: Convert to fraction form
    81,908.97/122,869.01 = 27,851.64/x
  3. Step 3: Cross multiply
    81,908.97x = 122,869.01 × 27,851.64
  4. Step 4: Simplify right side
    81,908.97x = 3,422,103,433.68
  5. Step 5: Solve for x
    x = 3,422,103,433.68/81,908.97
  6. Step 6: Final answer
    x = 41,779.35

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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.