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Finding the Fourth Proportional to 49,863.78, 68,788.85 and 29,709.36

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Solution

The fourth proportional to 49,863.78, 68,788.85 and 29,709.36 is: 40,985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,863.78 : 68,788.85 = 29,709.36 : x
  2. Step 2: Convert to fraction form
    49,863.78/68,788.85 = 29,709.36/x
  3. Step 3: Cross multiply
    49,863.78x = 68,788.85 × 29,709.36
  4. Step 4: Simplify right side
    49,863.78x = 2,043,672,560.09
  5. Step 5: Solve for x
    x = 2,043,672,560.09/49,863.78
  6. Step 6: Final answer
    x = 40,985.11

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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.