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Finding the Fourth Proportional to 84,067.62, 115,777.12 and 82,230.54

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Solution

The fourth proportional to 84,067.62, 115,777.12 and 82,230.54 is: 113,247.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,067.62 : 115,777.12 = 82,230.54 : x
  2. Step 2: Convert to fraction form
    84,067.62/115,777.12 = 82,230.54/x
  3. Step 3: Cross multiply
    84,067.62x = 115,777.12 × 82,230.54
  4. Step 4: Simplify right side
    84,067.62x = 9,520,415,494.21
  5. Step 5: Solve for x
    x = 9,520,415,494.21/84,067.62
  6. Step 6: Final answer
    x = 113,247.11

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1.5x scale

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.