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Finding the Fourth Proportional to 71,479.36, 107,190.24 and 21,544

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Solution

The fourth proportional to 71,479.36, 107,190.24 and 21,544 is: 32,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,479.36 : 107,190.24 = 21,544 : x
  2. Step 2: Convert to fraction form
    71,479.36/107,190.24 = 21,544/x
  3. Step 3: Cross multiply
    71,479.36x = 107,190.24 × 21,544
  4. Step 4: Simplify right side
    71,479.36x = 2,309,306,530.56
  5. Step 5: Solve for x
    x = 2,309,306,530.56/71,479.36
  6. Step 6: Final answer
    x = 32,307.32

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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.