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Finding the Fourth Proportional to 71,375.64, 107,059.32 and 21,454.65

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Solution

The fourth proportional to 71,375.64, 107,059.32 and 21,454.65 is: 32,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,375.64 : 107,059.32 = 21,454.65 : x
  2. Step 2: Convert to fraction form
    71,375.64/107,059.32 = 21,454.65/x
  3. Step 3: Cross multiply
    71,375.64x = 107,059.32 × 21,454.65
  4. Step 4: Simplify right side
    71,375.64x = 2,296,920,239.84
  5. Step 5: Solve for x
    x = 2,296,920,239.84/71,375.64
  6. Step 6: Final answer
    x = 32,180.73

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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.