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Finding the Fourth Proportional to 67,207.82, 100,812.72 and 17,286.80

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Solution

The fourth proportional to 67,207.82, 100,812.72 and 17,286.80 is: 25,930.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,207.82 : 100,812.72 = 17,286.80 : x
  2. Step 2: Convert to fraction form
    67,207.82/100,812.72 = 17,286.80/x
  3. Step 3: Cross multiply
    67,207.82x = 100,812.72 × 17,286.80
  4. Step 4: Simplify right side
    67,207.82x = 1,742,729,328.10
  5. Step 5: Solve for x
    x = 1,742,729,328.10/67,207.82
  6. Step 6: Final answer
    x = 25,930.45

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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.