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Finding the Fourth Proportional to 283,721.40, 425,644.38 and 84,057.42

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Solution

The fourth proportional to 283,721.40, 425,644.38 and 84,057.42 is: 126,104.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,721.40 : 425,644.38 = 84,057.42 : x
  2. Step 2: Convert to fraction form
    283,721.40/425,644.38 = 84,057.42/x
  3. Step 3: Cross multiply
    283,721.40x = 425,644.38 × 84,057.42
  4. Step 4: Simplify right side
    283,721.40x = 35,778,568,420.30
  5. Step 5: Solve for x
    x = 35,778,568,420.30/283,721.40
  6. Step 6: Final answer
    x = 126,104.58

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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.