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Finding the Fourth Proportional to 51,976.90, 71,728.03 and 29,315.82

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Solution

The fourth proportional to 51,976.90, 71,728.03 and 29,315.82 is: 40,455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,976.90 : 71,728.03 = 29,315.82 : x
  2. Step 2: Convert to fraction form
    51,976.90/71,728.03 = 29,315.82/x
  3. Step 3: Cross multiply
    51,976.90x = 71,728.03 × 29,315.82
  4. Step 4: Simplify right side
    51,976.90x = 2,102,766,229.30
  5. Step 5: Solve for x
    x = 2,102,766,229.30/51,976.90
  6. Step 6: Final answer
    x = 40,455.78

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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.