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Finding the Fourth Proportional to 81,458.94, 122,183.90 and 22,290.37

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Solution

The fourth proportional to 81,458.94, 122,183.90 and 22,290.37 is: 33,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,458.94 : 122,183.90 = 22,290.37 : x
  2. Step 2: Convert to fraction form
    81,458.94/122,183.90 = 22,290.37/x
  3. Step 3: Cross multiply
    81,458.94x = 122,183.90 × 22,290.37
  4. Step 4: Simplify right side
    81,458.94x = 2,723,524,339.04
  5. Step 5: Solve for x
    x = 2,723,524,339.04/81,458.94
  6. Step 6: Final answer
    x = 33,434.32

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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.