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Finding the Fourth Proportional to 71,162.62, 106,752.13 and 18,576.20

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Solution

The fourth proportional to 71,162.62, 106,752.13 and 18,576.20 is: 27,866.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,162.62 : 106,752.13 = 18,576.20 : x
  2. Step 2: Convert to fraction form
    71,162.62/106,752.13 = 18,576.20/x
  3. Step 3: Cross multiply
    71,162.62x = 106,752.13 × 18,576.20
  4. Step 4: Simplify right side
    71,162.62x = 1,983,049,137.75
  5. Step 5: Solve for x
    x = 1,983,049,137.75/71,162.62
  6. Step 6: Final answer
    x = 27,866.44

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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.