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Finding the Fourth Proportional to 283,348, 425,078.09 and 80,945.85

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Solution

The fourth proportional to 283,348, 425,078.09 and 80,945.85 is: 121,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,348 : 425,078.09 = 80,945.85 : x
  2. Step 2: Convert to fraction form
    283,348/425,078.09 = 80,945.85/x
  3. Step 3: Cross multiply
    283,348x = 425,078.09 × 80,945.85
  4. Step 4: Simplify right side
    283,348x = 34,408,307,311.43
  5. Step 5: Solve for x
    x = 34,408,307,311.43/283,348
  6. Step 6: Final answer
    x = 121,434.80

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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.