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Finding the Fourth Proportional to 84,071.62, 115,782.64 and 82,234.54

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Solution

The fourth proportional to 84,071.62, 115,782.64 and 82,234.54 is: 113,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,071.62 : 115,782.64 = 82,234.54 : x
  2. Step 2: Convert to fraction form
    84,071.62/115,782.64 = 82,234.54/x
  3. Step 3: Cross multiply
    84,071.62x = 115,782.64 × 82,234.54
  4. Step 4: Simplify right side
    84,071.62x = 9,521,332,140.39
  5. Step 5: Solve for x
    x = 9,521,332,140.39/84,071.62
  6. Step 6: Final answer
    x = 113,252.63

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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.