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Finding the Fourth Proportional to 67,146.84, 100,634.16 and 27,731.64

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Solution

The fourth proportional to 67,146.84, 100,634.16 and 27,731.64 is: 41,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,146.84 : 100,634.16 = 27,731.64 : x
  2. Step 2: Convert to fraction form
    67,146.84/100,634.16 = 27,731.64/x
  3. Step 3: Cross multiply
    67,146.84x = 100,634.16 × 27,731.64
  4. Step 4: Simplify right side
    67,146.84x = 2,790,750,296.82
  5. Step 5: Solve for x
    x = 2,790,750,296.82/67,146.84
  6. Step 6: Final answer
    x = 41,561.90

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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.