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Finding the Fourth Proportional to 81,823.44, 122,735.14 and 22,659.10

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Solution

The fourth proportional to 81,823.44, 122,735.14 and 22,659.10 is: 33,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,823.44 : 122,735.14 = 22,659.10 : x
  2. Step 2: Convert to fraction form
    81,823.44/122,735.14 = 22,659.10/x
  3. Step 3: Cross multiply
    81,823.44x = 122,735.14 × 22,659.10
  4. Step 4: Simplify right side
    81,823.44x = 2,781,067,810.77
  5. Step 5: Solve for x
    x = 2,781,067,810.77/81,823.44
  6. Step 6: Final answer
    x = 33,988.64

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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.