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Finding the Fourth Proportional to 54,078, 81,120.68 and 16,635.76

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Solution

The fourth proportional to 54,078, 81,120.68 and 16,635.76 is: 24,954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,078 : 81,120.68 = 16,635.76 : x
  2. Step 2: Convert to fraction form
    54,078/81,120.68 = 16,635.76/x
  3. Step 3: Cross multiply
    54,078x = 81,120.68 × 16,635.76
  4. Step 4: Simplify right side
    54,078x = 1,349,504,163.52
  5. Step 5: Solve for x
    x = 1,349,504,163.52/54,078
  6. Step 6: Final answer
    x = 24,954.77

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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.