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Finding the Fourth Proportional to 81,902.69, 122,854.71 and 22,742.97

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Solution

The fourth proportional to 81,902.69, 122,854.71 and 22,742.97 is: 34,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,902.69 : 122,854.71 = 22,742.97 : x
  2. Step 2: Convert to fraction form
    81,902.69/122,854.71 = 22,742.97/x
  3. Step 3: Cross multiply
    81,902.69x = 122,854.71 × 22,742.97
  4. Step 4: Simplify right side
    81,902.69x = 2,794,080,983.89
  5. Step 5: Solve for x
    x = 2,794,080,983.89/81,902.69
  6. Step 6: Final answer
    x = 34,114.64

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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.