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Finding the Fourth Proportional to 71,383.28, 107,080.38 and 18,792

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Solution

The fourth proportional to 71,383.28, 107,080.38 and 18,792 is: 28,189.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383.28 : 107,080.38 = 18,792 : x
  2. Step 2: Convert to fraction form
    71,383.28/107,080.38 = 18,792/x
  3. Step 3: Cross multiply
    71,383.28x = 107,080.38 × 18,792
  4. Step 4: Simplify right side
    71,383.28x = 2,012,254,500.96
  5. Step 5: Solve for x
    x = 2,012,254,500.96/71,383.28
  6. Step 6: Final answer
    x = 28,189.44

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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.