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Finding the Fourth Proportional to 81,903.44, 122,855.84 and 22,743.72

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Solution

The fourth proportional to 81,903.44, 122,855.84 and 22,743.72 is: 34,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,903.44 : 122,855.84 = 22,743.72 : x
  2. Step 2: Convert to fraction form
    81,903.44/122,855.84 = 22,743.72/x
  3. Step 3: Cross multiply
    81,903.44x = 122,855.84 × 22,743.72
  4. Step 4: Simplify right side
    81,903.44x = 2,794,198,825.32
  5. Step 5: Solve for x
    x = 2,794,198,825.32/81,903.44
  6. Step 6: Final answer
    x = 34,115.77

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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.