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Finding the Fourth Proportional to 68,099.67, 102,165.84 and 21,352.50

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Solution

The fourth proportional to 68,099.67, 102,165.84 and 21,352.50 is: 32,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,099.67 : 102,165.84 = 21,352.50 : x
  2. Step 2: Convert to fraction form
    68,099.67/102,165.84 = 21,352.50/x
  3. Step 3: Cross multiply
    68,099.67x = 102,165.84 × 21,352.50
  4. Step 4: Simplify right side
    68,099.67x = 2,181,496,098.60
  5. Step 5: Solve for x
    x = 2,181,496,098.60/68,099.67
  6. Step 6: Final answer
    x = 32,033.87

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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.