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Finding the Fourth Proportional to 81,913.84, 122,713.20 and 50,231.42

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Solution

The fourth proportional to 81,913.84, 122,713.20 and 50,231.42 is: 75,250.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,913.84 : 122,713.20 = 50,231.42 : x
  2. Step 2: Convert to fraction form
    81,913.84/122,713.20 = 50,231.42/x
  3. Step 3: Cross multiply
    81,913.84x = 122,713.20 × 50,231.42
  4. Step 4: Simplify right side
    81,913.84x = 6,164,058,288.74
  5. Step 5: Solve for x
    x = 6,164,058,288.74/81,913.84
  6. Step 6: Final answer
    x = 75,250.51

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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.