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Finding the Fourth Proportional to 69,930, 104,912.76 and 20,682

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Solution

The fourth proportional to 69,930, 104,912.76 and 20,682 is: 31,028.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,930 : 104,912.76 = 20,682 : x
  2. Step 2: Convert to fraction form
    69,930/104,912.76 = 20,682/x
  3. Step 3: Cross multiply
    69,930x = 104,912.76 × 20,682
  4. Step 4: Simplify right side
    69,930x = 2,169,805,702.32
  5. Step 5: Solve for x
    x = 2,169,805,702.32/69,930
  6. Step 6: Final answer
    x = 31,028.25

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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.