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Finding the Fourth Proportional to 71,736.80, 107,528.40 and 32,287.20

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Solution

The fourth proportional to 71,736.80, 107,528.40 and 32,287.20 is: 48,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,736.80 : 107,528.40 = 32,287.20 : x
  2. Step 2: Convert to fraction form
    71,736.80/107,528.40 = 32,287.20/x
  3. Step 3: Cross multiply
    71,736.80x = 107,528.40 × 32,287.20
  4. Step 4: Simplify right side
    71,736.80x = 3,471,790,956.48
  5. Step 5: Solve for x
    x = 3,471,790,956.48/71,736.80
  6. Step 6: Final answer
    x = 48,396.23

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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.