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Finding the Fourth Proportional to 68,096.26, 102,144.39 and 21,352.90

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Solution

The fourth proportional to 68,096.26, 102,144.39 and 21,352.90 is: 32,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,096.26 : 102,144.39 = 21,352.90 : x
  2. Step 2: Convert to fraction form
    68,096.26/102,144.39 = 21,352.90/x
  3. Step 3: Cross multiply
    68,096.26x = 102,144.39 × 21,352.90
  4. Step 4: Simplify right side
    68,096.26x = 2,181,078,945.23
  5. Step 5: Solve for x
    x = 2,181,078,945.23/68,096.26
  6. Step 6: Final answer
    x = 32,029.35

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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.