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Finding the Fourth Proportional to 81,800.82, 122,723.37 and 29,214.54

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Solution

The fourth proportional to 81,800.82, 122,723.37 and 29,214.54 is: 43,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,800.82 : 122,723.37 = 29,214.54 : x
  2. Step 2: Convert to fraction form
    81,800.82/122,723.37 = 29,214.54/x
  3. Step 3: Cross multiply
    81,800.82x = 122,723.37 × 29,214.54
  4. Step 4: Simplify right side
    81,800.82x = 3,585,306,801.80
  5. Step 5: Solve for x
    x = 3,585,306,801.80/81,800.82
  6. Step 6: Final answer
    x = 43,829.72

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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.