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Finding the Fourth Proportional to 80,662.74, 120,957.09 and 47,398.44

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Solution

The fourth proportional to 80,662.74, 120,957.09 and 47,398.44 is: 71,075.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,662.74 : 120,957.09 = 47,398.44 : x
  2. Step 2: Convert to fraction form
    80,662.74/120,957.09 = 47,398.44/x
  3. Step 3: Cross multiply
    80,662.74x = 120,957.09 × 47,398.44
  4. Step 4: Simplify right side
    80,662.74x = 5,733,177,372.94
  5. Step 5: Solve for x
    x = 5,733,177,372.94/80,662.74
  6. Step 6: Final answer
    x = 71,075.91

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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.