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Finding the Fourth Proportional to 71,563.20, 107,344.80 and 36,571.20

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Solution

The fourth proportional to 71,563.20, 107,344.80 and 36,571.20 is: 54,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,563.20 : 107,344.80 = 36,571.20 : x
  2. Step 2: Convert to fraction form
    71,563.20/107,344.80 = 36,571.20/x
  3. Step 3: Cross multiply
    71,563.20x = 107,344.80 × 36,571.20
  4. Step 4: Simplify right side
    71,563.20x = 3,925,728,149.76
  5. Step 5: Solve for x
    x = 3,925,728,149.76/71,563.20
  6. Step 6: Final answer
    x = 54,856.80

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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.