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Finding the Fourth Proportional to 81,523.43, 122,179.86 and 36,511.89

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Solution

The fourth proportional to 81,523.43, 122,179.86 and 36,511.89 is: 54,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,523.43 : 122,179.86 = 36,511.89 : x
  2. Step 2: Convert to fraction form
    81,523.43/122,179.86 = 36,511.89/x
  3. Step 3: Cross multiply
    81,523.43x = 122,179.86 × 36,511.89
  4. Step 4: Simplify right side
    81,523.43x = 4,461,017,608.54
  5. Step 5: Solve for x
    x = 4,461,017,608.54/81,523.43
  6. Step 6: Final answer
    x = 54,720.68

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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.