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Finding the Fourth Proportional to 71,091.20, 106,723.20 and 53,422.40

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Solution

The fourth proportional to 71,091.20, 106,723.20 and 53,422.40 is: 80,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,091.20 : 106,723.20 = 53,422.40 : x
  2. Step 2: Convert to fraction form
    71,091.20/106,723.20 = 53,422.40/x
  3. Step 3: Cross multiply
    71,091.20x = 106,723.20 × 53,422.40
  4. Step 4: Simplify right side
    71,091.20x = 5,701,409,479.68
  5. Step 5: Solve for x
    x = 5,701,409,479.68/71,091.20
  6. Step 6: Final answer
    x = 80,198.53

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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.