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Finding the Fourth Proportional to 67,231.42, 100,838.86 and 17,311.79

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Solution

The fourth proportional to 67,231.42, 100,838.86 and 17,311.79 is: 25,965.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,231.42 : 100,838.86 = 17,311.79 : x
  2. Step 2: Convert to fraction form
    67,231.42/100,838.86 = 17,311.79/x
  3. Step 3: Cross multiply
    67,231.42x = 100,838.86 × 17,311.79
  4. Step 4: Simplify right side
    67,231.42x = 1,745,701,376.98
  5. Step 5: Solve for x
    x = 1,745,701,376.98/67,231.42
  6. Step 6: Final answer
    x = 25,965.56

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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.