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Finding the Fourth Proportional to 80,201.80, 120,302.70 and 55,318.60

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Solution

The fourth proportional to 80,201.80, 120,302.70 and 55,318.60 is: 82,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,201.80 : 120,302.70 = 55,318.60 : x
  2. Step 2: Convert to fraction form
    80,201.80/120,302.70 = 55,318.60/x
  3. Step 3: Cross multiply
    80,201.80x = 120,302.70 × 55,318.60
  4. Step 4: Simplify right side
    80,201.80x = 6,654,976,940.22
  5. Step 5: Solve for x
    x = 6,654,976,940.22/80,201.80
  6. Step 6: Final answer
    x = 82,977.90

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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.