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Finding the Fourth Proportional to 69,818.12, 104,724.64 and 30,375.28

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Solution

The fourth proportional to 69,818.12, 104,724.64 and 30,375.28 is: 45,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,818.12 : 104,724.64 = 30,375.28 : x
  2. Step 2: Convert to fraction form
    69,818.12/104,724.64 = 30,375.28/x
  3. Step 3: Cross multiply
    69,818.12x = 104,724.64 × 30,375.28
  4. Step 4: Simplify right side
    69,818.12x = 3,181,040,262.90
  5. Step 5: Solve for x
    x = 3,181,040,262.90/69,818.12
  6. Step 6: Final answer
    x = 45,561.81

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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.