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Finding the Fourth Proportional to 49,775, 68,689.50 and 27,419

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Solution

The fourth proportional to 49,775, 68,689.50 and 27,419 is: 37,838.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,775 : 68,689.50 = 27,419 : x
  2. Step 2: Convert to fraction form
    49,775/68,689.50 = 27,419/x
  3. Step 3: Cross multiply
    49,775x = 68,689.50 × 27,419
  4. Step 4: Simplify right side
    49,775x = 1,883,397,400.50
  5. Step 5: Solve for x
    x = 1,883,397,400.50/49,775
  6. Step 6: Final answer
    x = 37,838.22

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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.