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Finding the Fourth Proportional to 67,396.68, 101,131.44 and 27,981

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Solution

The fourth proportional to 67,396.68, 101,131.44 and 27,981 is: 41,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,396.68 : 101,131.44 = 27,981 : x
  2. Step 2: Convert to fraction form
    67,396.68/101,131.44 = 27,981/x
  3. Step 3: Cross multiply
    67,396.68x = 101,131.44 × 27,981
  4. Step 4: Simplify right side
    67,396.68x = 2,829,758,822.64
  5. Step 5: Solve for x
    x = 2,829,758,822.64/67,396.68
  6. Step 6: Final answer
    x = 41,986.62

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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.