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Finding the Fourth Proportional to 49,647, 68,512.86 and 32,880

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Solution

The fourth proportional to 49,647, 68,512.86 and 32,880 is: 45,374.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,647 : 68,512.86 = 32,880 : x
  2. Step 2: Convert to fraction form
    49,647/68,512.86 = 32,880/x
  3. Step 3: Cross multiply
    49,647x = 68,512.86 × 32,880
  4. Step 4: Simplify right side
    49,647x = 2,252,702,836.80
  5. Step 5: Solve for x
    x = 2,252,702,836.80/49,647
  6. Step 6: Final answer
    x = 45,374.40

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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.