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Finding the Fourth Proportional to 81,953.75, 122,951.75 and 44,504.21

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Solution

The fourth proportional to 81,953.75, 122,951.75 and 44,504.21 is: 66,767.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,953.75 : 122,951.75 = 44,504.21 : x
  2. Step 2: Convert to fraction form
    81,953.75/122,951.75 = 44,504.21/x
  3. Step 3: Cross multiply
    81,953.75x = 122,951.75 × 44,504.21
  4. Step 4: Simplify right side
    81,953.75x = 5,471,869,664.59
  5. Step 5: Solve for x
    x = 5,471,869,664.59/81,953.75
  6. Step 6: Final answer
    x = 66,767.78

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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.