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Finding the Fourth Proportional to 69,380.30, 104,039.67 and 31,931.30

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Solution

The fourth proportional to 69,380.30, 104,039.67 and 31,931.30 is: 47,882.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,380.30 : 104,039.67 = 31,931.30 : x
  2. Step 2: Convert to fraction form
    69,380.30/104,039.67 = 31,931.30/x
  3. Step 3: Cross multiply
    69,380.30x = 104,039.67 × 31,931.30
  4. Step 4: Simplify right side
    69,380.30x = 3,322,121,914.67
  5. Step 5: Solve for x
    x = 3,322,121,914.67/69,380.30
  6. Step 6: Final answer
    x = 47,882.78

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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.