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Finding the Fourth Proportional to 81,458.52, 122,187.91 and 22,289.77

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Solution

The fourth proportional to 81,458.52, 122,187.91 and 22,289.77 is: 33,434.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,458.52 : 122,187.91 = 22,289.77 : x
  2. Step 2: Convert to fraction form
    81,458.52/122,187.91 = 22,289.77/x
  3. Step 3: Cross multiply
    81,458.52x = 122,187.91 × 22,289.77
  4. Step 4: Simplify right side
    81,458.52x = 2,723,540,410.68
  5. Step 5: Solve for x
    x = 2,723,540,410.68/81,458.52
  6. Step 6: Final answer
    x = 33,434.69

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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.