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Finding the Fourth Proportional to 283,814.35, 425,723.21 and 84,136.43

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Solution

The fourth proportional to 283,814.35, 425,723.21 and 84,136.43 is: 126,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,814.35 : 425,723.21 = 84,136.43 : x
  2. Step 2: Convert to fraction form
    283,814.35/425,723.21 = 84,136.43/x
  3. Step 3: Cross multiply
    283,814.35x = 425,723.21 × 84,136.43
  4. Step 4: Simplify right side
    283,814.35x = 35,818,831,057.54
  5. Step 5: Solve for x
    x = 35,818,831,057.54/283,814.35
  6. Step 6: Final answer
    x = 126,205.14

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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.