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Finding the Fourth Proportional to 85,209.70, 127,814.55 and 80,371.30

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Solution

The fourth proportional to 85,209.70, 127,814.55 and 80,371.30 is: 120,556.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,209.70 : 127,814.55 = 80,371.30 : x
  2. Step 2: Convert to fraction form
    85,209.70/127,814.55 = 80,371.30/x
  3. Step 3: Cross multiply
    85,209.70x = 127,814.55 × 80,371.30
  4. Step 4: Simplify right side
    85,209.70x = 10,272,621,542.42
  5. Step 5: Solve for x
    x = 10,272,621,542.42/85,209.70
  6. Step 6: Final answer
    x = 120,556.95

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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.