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Finding the Fourth Proportional to 69,288.80, 103,837.56 and 31,755.52

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Solution

The fourth proportional to 69,288.80, 103,837.56 and 31,755.52 is: 47,589.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,288.80 : 103,837.56 = 31,755.52 : x
  2. Step 2: Convert to fraction form
    69,288.80/103,837.56 = 31,755.52/x
  3. Step 3: Cross multiply
    69,288.80x = 103,837.56 × 31,755.52
  4. Step 4: Simplify right side
    69,288.80x = 3,297,415,713.33
  5. Step 5: Solve for x
    x = 3,297,415,713.33/69,288.80
  6. Step 6: Final answer
    x = 47,589.45

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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.