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Finding the Fourth Proportional to 71,502.80, 107,221.80 and 27,114.80

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Solution

The fourth proportional to 71,502.80, 107,221.80 and 27,114.80 is: 40,659.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502.80 : 107,221.80 = 27,114.80 : x
  2. Step 2: Convert to fraction form
    71,502.80/107,221.80 = 27,114.80/x
  3. Step 3: Cross multiply
    71,502.80x = 107,221.80 × 27,114.80
  4. Step 4: Simplify right side
    71,502.80x = 2,907,297,662.64
  5. Step 5: Solve for x
    x = 2,907,297,662.64/71,502.80
  6. Step 6: Final answer
    x = 40,659.91

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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.