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Finding the Fourth Proportional to 49,563.72, 68,375.12 and 31,649.76

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Solution

The fourth proportional to 49,563.72, 68,375.12 and 31,649.76 is: 43,662.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,563.72 : 68,375.12 = 31,649.76 : x
  2. Step 2: Convert to fraction form
    49,563.72/68,375.12 = 31,649.76/x
  3. Step 3: Cross multiply
    49,563.72x = 68,375.12 × 31,649.76
  4. Step 4: Simplify right side
    49,563.72x = 2,164,056,137.97
  5. Step 5: Solve for x
    x = 2,164,056,137.97/49,563.72
  6. Step 6: Final answer
    x = 43,662.10

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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.