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Finding the Fourth Proportional to 54,819.42, 82,231.10 and 28,158.22

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Solution

The fourth proportional to 54,819.42, 82,231.10 and 28,158.22 is: 42,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,819.42 : 82,231.10 = 28,158.22 : x
  2. Step 2: Convert to fraction form
    54,819.42/82,231.10 = 28,158.22/x
  3. Step 3: Cross multiply
    54,819.42x = 82,231.10 × 28,158.22
  4. Step 4: Simplify right side
    54,819.42x = 2,315,481,404.64
  5. Step 5: Solve for x
    x = 2,315,481,404.64/54,819.42
  6. Step 6: Final answer
    x = 42,238.34

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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.