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Finding the Fourth Proportional to 49,751.67, 68,680.81 and 31,857.09

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Solution

The fourth proportional to 49,751.67, 68,680.81 and 31,857.09 is: 43,977.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,751.67 : 68,680.81 = 31,857.09 : x
  2. Step 2: Convert to fraction form
    49,751.67/68,680.81 = 31,857.09/x
  3. Step 3: Cross multiply
    49,751.67x = 68,680.81 × 31,857.09
  4. Step 4: Simplify right side
    49,751.67x = 2,187,970,745.44
  5. Step 5: Solve for x
    x = 2,187,970,745.44/49,751.67
  6. Step 6: Final answer
    x = 43,977.84

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1.5x scale

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.