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Finding the Fourth Proportional to 51,908, 71,633.84 and 30,689.24

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Solution

The fourth proportional to 51,908, 71,633.84 and 30,689.24 is: 42,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,908 : 71,633.84 = 30,689.24 : x
  2. Step 2: Convert to fraction form
    51,908/71,633.84 = 30,689.24/x
  3. Step 3: Cross multiply
    51,908x = 71,633.84 × 30,689.24
  4. Step 4: Simplify right side
    51,908x = 2,198,388,107.88
  5. Step 5: Solve for x
    x = 2,198,388,107.88/51,908
  6. Step 6: Final answer
    x = 42,351.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.