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Finding the Fourth Proportional to 81,198.57, 121,822.46 and 36,813.41

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Solution

The fourth proportional to 81,198.57, 121,822.46 and 36,813.41 is: 55,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,198.57 : 121,822.46 = 36,813.41 : x
  2. Step 2: Convert to fraction form
    81,198.57/121,822.46 = 36,813.41/x
  3. Step 3: Cross multiply
    81,198.57x = 121,822.46 × 36,813.41
  4. Step 4: Simplify right side
    81,198.57x = 4,484,699,374.01
  5. Step 5: Solve for x
    x = 4,484,699,374.01/81,198.57
  6. Step 6: Final answer
    x = 55,231.26

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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.