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Finding the Fourth Proportional to 67,834, 101,751.18 and 21,086.92

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Solution

The fourth proportional to 67,834, 101,751.18 and 21,086.92 is: 31,630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,834 : 101,751.18 = 21,086.92 : x
  2. Step 2: Convert to fraction form
    67,834/101,751.18 = 21,086.92/x
  3. Step 3: Cross multiply
    67,834x = 101,751.18 × 21,086.92
  4. Step 4: Simplify right side
    67,834x = 2,145,618,992.57
  5. Step 5: Solve for x
    x = 2,145,618,992.57/67,834
  6. Step 6: Final answer
    x = 31,630.44

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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.