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Finding the Fourth Proportional to 81,822.80, 122,604.60 and 52,187.60

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Solution

The fourth proportional to 81,822.80, 122,604.60 and 52,187.60 is: 78,198.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,822.80 : 122,604.60 = 52,187.60 : x
  2. Step 2: Convert to fraction form
    81,822.80/122,604.60 = 52,187.60/x
  3. Step 3: Cross multiply
    81,822.80x = 122,604.60 × 52,187.60
  4. Step 4: Simplify right side
    81,822.80x = 6,398,439,822.96
  5. Step 5: Solve for x
    x = 6,398,439,822.96/81,822.80
  6. Step 6: Final answer
    x = 78,198.74

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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.