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Finding the Fourth Proportional to 168,029.80, 251,782.21 and 142,966.78

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Solution

The fourth proportional to 168,029.80, 251,782.21 and 142,966.78 is: 214,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,029.80 : 251,782.21 = 142,966.78 : x
  2. Step 2: Convert to fraction form
    168,029.80/251,782.21 = 142,966.78/x
  3. Step 3: Cross multiply
    168,029.80x = 251,782.21 × 142,966.78
  4. Step 4: Simplify right side
    168,029.80x = 35,996,491,824.98
  5. Step 5: Solve for x
    x = 35,996,491,824.98/168,029.80
  6. Step 6: Final answer
    x = 214,226.83

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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.