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Finding the Fourth Proportional to 49,736, 68,635.68 and 27,380

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Solution

The fourth proportional to 49,736, 68,635.68 and 27,380 is: 37,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,736 : 68,635.68 = 27,380 : x
  2. Step 2: Convert to fraction form
    49,736/68,635.68 = 27,380/x
  3. Step 3: Cross multiply
    49,736x = 68,635.68 × 27,380
  4. Step 4: Simplify right side
    49,736x = 1,879,244,918.40
  5. Step 5: Solve for x
    x = 1,879,244,918.40/49,736
  6. Step 6: Final answer
    x = 37,784.40

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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.