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Finding the Fourth Proportional to 71,500.36, 107,265.74 and 21,584.20

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Solution

The fourth proportional to 71,500.36, 107,265.74 and 21,584.20 is: 32,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,500.36 : 107,265.74 = 21,584.20 : x
  2. Step 2: Convert to fraction form
    71,500.36/107,265.74 = 21,584.20/x
  3. Step 3: Cross multiply
    71,500.36x = 107,265.74 × 21,584.20
  4. Step 4: Simplify right side
    71,500.36x = 2,315,245,185.31
  5. Step 5: Solve for x
    x = 2,315,245,185.31/71,500.36
  6. Step 6: Final answer
    x = 32,380.89

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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.