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Finding the Fourth Proportional to 16,144.68, 22,270.50 and 13,163.88

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Solution

The fourth proportional to 16,144.68, 22,270.50 and 13,163.88 is: 18,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.68 : 22,270.50 = 13,163.88 : x
  2. Step 2: Convert to fraction form
    16,144.68/22,270.50 = 13,163.88/x
  3. Step 3: Cross multiply
    16,144.68x = 22,270.50 × 13,163.88
  4. Step 4: Simplify right side
    16,144.68x = 293,166,189.54
  5. Step 5: Solve for x
    x = 293,166,189.54/16,144.68
  6. Step 6: Final answer
    x = 18,158.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.