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Finding the Fourth Proportional to 57,634, 86,451 and 16,081

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Solution

The fourth proportional to 57,634, 86,451 and 16,081 is: 24,121.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,634 : 86,451 = 16,081 : x
  2. Step 2: Convert to fraction form
    57,634/86,451 = 16,081/x
  3. Step 3: Cross multiply
    57,634x = 86,451 × 16,081
  4. Step 4: Simplify right side
    57,634x = 1,390,218,531
  5. Step 5: Solve for x
    x = 1,390,218,531/57,634
  6. Step 6: Final answer
    x = 24,121.50

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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.