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Finding the Fourth Proportional to 49,648.80, 74,408.40 and 20,042.40

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Solution

The fourth proportional to 49,648.80, 74,408.40 and 20,042.40 is: 30,037.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648.80 : 74,408.40 = 20,042.40 : x
  2. Step 2: Convert to fraction form
    49,648.80/74,408.40 = 20,042.40/x
  3. Step 3: Cross multiply
    49,648.80x = 74,408.40 × 20,042.40
  4. Step 4: Simplify right side
    49,648.80x = 1,491,322,916.16
  5. Step 5: Solve for x
    x = 1,491,322,916.16/49,648.80
  6. Step 6: Final answer
    x = 30,037.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.