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Finding the Fourth Proportional to 68,972.94, 103,375.80 and 31,481.64

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Solution

The fourth proportional to 68,972.94, 103,375.80 and 31,481.64 is: 47,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,972.94 : 103,375.80 = 31,481.64 : x
  2. Step 2: Convert to fraction form
    68,972.94/103,375.80 = 31,481.64/x
  3. Step 3: Cross multiply
    68,972.94x = 103,375.80 × 31,481.64
  4. Step 4: Simplify right side
    68,972.94x = 3,254,439,720.31
  5. Step 5: Solve for x
    x = 3,254,439,720.31/68,972.94
  6. Step 6: Final answer
    x = 47,184.30

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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.