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Finding the Fourth Proportional to 73,742.28, 110,613.78 and 18,338.28

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Solution

The fourth proportional to 73,742.28, 110,613.78 and 18,338.28 is: 27,507.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,742.28 : 110,613.78 = 18,338.28 : x
  2. Step 2: Convert to fraction form
    73,742.28/110,613.78 = 18,338.28/x
  3. Step 3: Cross multiply
    73,742.28x = 110,613.78 × 18,338.28
  4. Step 4: Simplify right side
    73,742.28x = 2,028,466,469.50
  5. Step 5: Solve for x
    x = 2,028,466,469.50/73,742.28
  6. Step 6: Final answer
    x = 27,507.51

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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.