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Finding the Fourth Proportional to 80,201.20, 120,301.80 and 57,650.80

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Solution

The fourth proportional to 80,201.20, 120,301.80 and 57,650.80 is: 86,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,201.20 : 120,301.80 = 57,650.80 : x
  2. Step 2: Convert to fraction form
    80,201.20/120,301.80 = 57,650.80/x
  3. Step 3: Cross multiply
    80,201.20x = 120,301.80 × 57,650.80
  4. Step 4: Simplify right side
    80,201.20x = 6,935,495,011.44
  5. Step 5: Solve for x
    x = 6,935,495,011.44/80,201.20
  6. Step 6: Final answer
    x = 86,476.20

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1.5x scale

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.