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Finding the Fourth Proportional to 67,129.36, 100,693.14 and 27,147.76

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Solution

The fourth proportional to 67,129.36, 100,693.14 and 27,147.76 is: 40,721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,129.36 : 100,693.14 = 27,147.76 : x
  2. Step 2: Convert to fraction form
    67,129.36/100,693.14 = 27,147.76/x
  3. Step 3: Cross multiply
    67,129.36x = 100,693.14 × 27,147.76
  4. Step 4: Simplify right side
    67,129.36x = 2,733,593,198.37
  5. Step 5: Solve for x
    x = 2,733,593,198.37/67,129.36
  6. Step 6: Final answer
    x = 40,721.28

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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.