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Finding the Fourth Proportional to 49,500, 68,310 and 27,144

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Solution

The fourth proportional to 49,500, 68,310 and 27,144 is: 37,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,500 : 68,310 = 27,144 : x
  2. Step 2: Convert to fraction form
    49,500/68,310 = 27,144/x
  3. Step 3: Cross multiply
    49,500x = 68,310 × 27,144
  4. Step 4: Simplify right side
    49,500x = 1,854,206,640
  5. Step 5: Solve for x
    x = 1,854,206,640/49,500
  6. Step 6: Final answer
    x = 37,458.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.