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Finding the Fourth Proportional to 49,682, 68,541.68 and 28,449.84

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Solution

The fourth proportional to 49,682, 68,541.68 and 28,449.84 is: 39,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,682 : 68,541.68 = 28,449.84 : x
  2. Step 2: Convert to fraction form
    49,682/68,541.68 = 28,449.84/x
  3. Step 3: Cross multiply
    49,682x = 68,541.68 × 28,449.84
  4. Step 4: Simplify right side
    49,682x = 1,949,999,829.33
  5. Step 5: Solve for x
    x = 1,949,999,829.33/49,682
  6. Step 6: Final answer
    x = 39,249.62

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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.