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Finding the Fourth Proportional to 49,876, 68,837.78 and 29,734.20

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Solution

The fourth proportional to 49,876, 68,837.78 and 29,734.20 is: 41,038.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,876 : 68,837.78 = 29,734.20 : x
  2. Step 2: Convert to fraction form
    49,876/68,837.78 = 29,734.20/x
  3. Step 3: Cross multiply
    49,876x = 68,837.78 × 29,734.20
  4. Step 4: Simplify right side
    49,876x = 2,046,836,318.08
  5. Step 5: Solve for x
    x = 2,046,836,318.08/49,876
  6. Step 6: Final answer
    x = 41,038.50

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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.