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Finding the Fourth Proportional to 81,775.44, 122,590.44 and 31,843.92

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Solution

The fourth proportional to 81,775.44, 122,590.44 and 31,843.92 is: 47,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,775.44 : 122,590.44 = 31,843.92 : x
  2. Step 2: Convert to fraction form
    81,775.44/122,590.44 = 31,843.92/x
  3. Step 3: Cross multiply
    81,775.44x = 122,590.44 × 31,843.92
  4. Step 4: Simplify right side
    81,775.44x = 3,903,760,164.12
  5. Step 5: Solve for x
    x = 3,903,760,164.12/81,775.44
  6. Step 6: Final answer
    x = 47,737.56

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1.5x scale

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.