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Finding the Fourth Proportional to 82,574.43, 123,819.72 and 35,171.20

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Solution

The fourth proportional to 82,574.43, 123,819.72 and 35,171.20 is: 52,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,574.43 : 123,819.72 = 35,171.20 : x
  2. Step 2: Convert to fraction form
    82,574.43/123,819.72 = 35,171.20/x
  3. Step 3: Cross multiply
    82,574.43x = 123,819.72 × 35,171.20
  4. Step 4: Simplify right side
    82,574.43x = 4,354,888,136.06
  5. Step 5: Solve for x
    x = 4,354,888,136.06/82,574.43
  6. Step 6: Final answer
    x = 52,738.94

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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.