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Finding the Fourth Proportional to 81,771.68, 122,704.78 and 34,383

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Solution

The fourth proportional to 81,771.68, 122,704.78 and 34,383 is: 51,594.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,771.68 : 122,704.78 = 34,383 : x
  2. Step 2: Convert to fraction form
    81,771.68/122,704.78 = 34,383/x
  3. Step 3: Cross multiply
    81,771.68x = 122,704.78 × 34,383
  4. Step 4: Simplify right side
    81,771.68x = 4,218,958,450.74
  5. Step 5: Solve for x
    x = 4,218,958,450.74/81,771.68
  6. Step 6: Final answer
    x = 51,594.37

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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.