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Finding the Fourth Proportional to 85,310.40, 127,767.84 and 82,357.44

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Solution

The fourth proportional to 85,310.40, 127,767.84 and 82,357.44 is: 123,345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,310.40 : 127,767.84 = 82,357.44 : x
  2. Step 2: Convert to fraction form
    85,310.40/127,767.84 = 82,357.44/x
  3. Step 3: Cross multiply
    85,310.40x = 127,767.84 × 82,357.44
  4. Step 4: Simplify right side
    85,310.40x = 10,522,632,216.73
  5. Step 5: Solve for x
    x = 10,522,632,216.73/85,310.40
  6. Step 6: Final answer
    x = 123,345.25

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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.