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Finding the Fourth Proportional to 69,343.72, 104,019.90 and 27,785.32

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Solution

The fourth proportional to 69,343.72, 104,019.90 and 27,785.32 is: 41,679.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,343.72 : 104,019.90 = 27,785.32 : x
  2. Step 2: Convert to fraction form
    69,343.72/104,019.90 = 27,785.32/x
  3. Step 3: Cross multiply
    69,343.72x = 104,019.90 × 27,785.32
  4. Step 4: Simplify right side
    69,343.72x = 2,890,226,207.87
  5. Step 5: Solve for x
    x = 2,890,226,207.87/69,343.72
  6. Step 6: Final answer
    x = 41,679.71

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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.