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Finding the Fourth Proportional to 69,504.80, 104,176.55 and 31,986.11

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Solution

The fourth proportional to 69,504.80, 104,176.55 and 31,986.11 is: 47,942.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,504.80 : 104,176.55 = 31,986.11 : x
  2. Step 2: Convert to fraction form
    69,504.80/104,176.55 = 31,986.11/x
  3. Step 3: Cross multiply
    69,504.80x = 104,176.55 × 31,986.11
  4. Step 4: Simplify right side
    69,504.80x = 3,332,201,906.91
  5. Step 5: Solve for x
    x = 3,332,201,906.91/69,504.80
  6. Step 6: Final answer
    x = 47,942.04

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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.