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Finding the Fourth Proportional to 81,796.92, 122,751.89 and 53,730.42

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Solution

The fourth proportional to 81,796.92, 122,751.89 and 53,730.42 is: 80,632.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,796.92 : 122,751.89 = 53,730.42 : x
  2. Step 2: Convert to fraction form
    81,796.92/122,751.89 = 53,730.42/x
  3. Step 3: Cross multiply
    81,796.92x = 122,751.89 × 53,730.42
  4. Step 4: Simplify right side
    81,796.92x = 6,595,510,336.84
  5. Step 5: Solve for x
    x = 6,595,510,336.84/81,796.92
  6. Step 6: Final answer
    x = 80,632.75

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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.