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Finding the Fourth Proportional to 68,190.75, 102,289.77 and 21,447.27

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Solution

The fourth proportional to 68,190.75, 102,289.77 and 21,447.27 is: 32,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,190.75 : 102,289.77 = 21,447.27 : x
  2. Step 2: Convert to fraction form
    68,190.75/102,289.77 = 21,447.27/x
  3. Step 3: Cross multiply
    68,190.75x = 102,289.77 × 21,447.27
  4. Step 4: Simplify right side
    68,190.75x = 2,193,836,315.43
  5. Step 5: Solve for x
    x = 2,193,836,315.43/68,190.75
  6. Step 6: Final answer
    x = 32,172.05

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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.