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Finding the Fourth Proportional to 87,015, 120,080.82 and 47,271

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Solution

The fourth proportional to 87,015, 120,080.82 and 47,271 is: 65,234.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,015 : 120,080.82 = 47,271 : x
  2. Step 2: Convert to fraction form
    87,015/120,080.82 = 47,271/x
  3. Step 3: Cross multiply
    87,015x = 120,080.82 × 47,271
  4. Step 4: Simplify right side
    87,015x = 5,676,340,442.22
  5. Step 5: Solve for x
    x = 5,676,340,442.22/87,015
  6. Step 6: Final answer
    x = 65,234.05

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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.