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Finding the Fourth Proportional to 283,785.40, 425,601.30 and 84,105.40

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Solution

The fourth proportional to 283,785.40, 425,601.30 and 84,105.40 is: 126,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,785.40 : 425,601.30 = 84,105.40 : x
  2. Step 2: Convert to fraction form
    283,785.40/425,601.30 = 84,105.40/x
  3. Step 3: Cross multiply
    283,785.40x = 425,601.30 × 84,105.40
  4. Step 4: Simplify right side
    283,785.40x = 35,795,367,577.02
  5. Step 5: Solve for x
    x = 35,795,367,577.02/283,785.40
  6. Step 6: Final answer
    x = 126,135.34

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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.