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Finding the Fourth Proportional to 259,745.80, 389,618.70 and 82,252.52

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Solution

The fourth proportional to 259,745.80, 389,618.70 and 82,252.52 is: 123,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,745.80 : 389,618.70 = 82,252.52 : x
  2. Step 2: Convert to fraction form
    259,745.80/389,618.70 = 82,252.52/x
  3. Step 3: Cross multiply
    259,745.80x = 389,618.70 × 82,252.52
  4. Step 4: Simplify right side
    259,745.80x = 32,047,119,914.12
  5. Step 5: Solve for x
    x = 32,047,119,914.12/259,745.80
  6. Step 6: Final answer
    x = 123,378.78

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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.