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Finding the Fourth Proportional to 81,821.83, 122,718.83 and 22,643.64

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Solution

The fourth proportional to 81,821.83, 122,718.83 and 22,643.64 is: 33,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,821.83 : 122,718.83 = 22,643.64 : x
  2. Step 2: Convert to fraction form
    81,821.83/122,718.83 = 22,643.64/x
  3. Step 3: Cross multiply
    81,821.83x = 122,718.83 × 22,643.64
  4. Step 4: Simplify right side
    81,821.83x = 2,778,801,007.74
  5. Step 5: Solve for x
    x = 2,778,801,007.74/81,821.83
  6. Step 6: Final answer
    x = 33,961.61

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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.