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Finding the Fourth Proportional to 80,982, 111,770.28 and 47,448

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Solution

The fourth proportional to 80,982, 111,770.28 and 47,448 is: 65,487.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,982 : 111,770.28 = 47,448 : x
  2. Step 2: Convert to fraction form
    80,982/111,770.28 = 47,448/x
  3. Step 3: Cross multiply
    80,982x = 111,770.28 × 47,448
  4. Step 4: Simplify right side
    80,982x = 5,303,276,245.44
  5. Step 5: Solve for x
    x = 5,303,276,245.44/80,982
  6. Step 6: Final answer
    x = 65,487.10

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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.