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Finding the Fourth Proportional to 81,859.68, 122,815.44 and 29,268

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Solution

The fourth proportional to 81,859.68, 122,815.44 and 29,268 is: 43,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,859.68 : 122,815.44 = 29,268 : x
  2. Step 2: Convert to fraction form
    81,859.68/122,815.44 = 29,268/x
  3. Step 3: Cross multiply
    81,859.68x = 122,815.44 × 29,268
  4. Step 4: Simplify right side
    81,859.68x = 3,594,562,297.92
  5. Step 5: Solve for x
    x = 3,594,562,297.92/81,859.68
  6. Step 6: Final answer
    x = 43,911.27

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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.