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Finding the Fourth Proportional to 68,121.88, 102,181.64 and 30,655.44

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Solution

The fourth proportional to 68,121.88, 102,181.64 and 30,655.44 is: 45,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,121.88 : 102,181.64 = 30,655.44 : x
  2. Step 2: Convert to fraction form
    68,121.88/102,181.64 = 30,655.44/x
  3. Step 3: Cross multiply
    68,121.88x = 102,181.64 × 30,655.44
  4. Step 4: Simplify right side
    68,121.88x = 3,132,422,980.84
  5. Step 5: Solve for x
    x = 3,132,422,980.84/68,121.88
  6. Step 6: Final answer
    x = 45,982.63

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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.