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Finding the Fourth Proportional to 71,751.22, 107,618.42 and 19,164.80

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Solution

The fourth proportional to 71,751.22, 107,618.42 and 19,164.80 is: 28,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,751.22 : 107,618.42 = 19,164.80 : x
  2. Step 2: Convert to fraction form
    71,751.22/107,618.42 = 19,164.80/x
  3. Step 3: Cross multiply
    71,751.22x = 107,618.42 × 19,164.80
  4. Step 4: Simplify right side
    71,751.22x = 2,062,485,812.57
  5. Step 5: Solve for x
    x = 2,062,485,812.57/71,751.22
  6. Step 6: Final answer
    x = 28,744.96

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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.