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Finding the Fourth Proportional to 81,843.88, 122,768.28 and 31,921.96

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Solution

The fourth proportional to 81,843.88, 122,768.28 and 31,921.96 is: 47,883.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,843.88 : 122,768.28 = 31,921.96 : x
  2. Step 2: Convert to fraction form
    81,843.88/122,768.28 = 31,921.96/x
  3. Step 3: Cross multiply
    81,843.88x = 122,768.28 × 31,921.96
  4. Step 4: Simplify right side
    81,843.88x = 3,919,004,123.43
  5. Step 5: Solve for x
    x = 3,919,004,123.43/81,843.88
  6. Step 6: Final answer
    x = 47,883.90

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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.