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Finding the Fourth Proportional to 202,516.20, 303,191.10 and 123,784.20

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Solution

The fourth proportional to 202,516.20, 303,191.10 and 123,784.20 is: 185,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,516.20 : 303,191.10 = 123,784.20 : x
  2. Step 2: Convert to fraction form
    202,516.20/303,191.10 = 123,784.20/x
  3. Step 3: Cross multiply
    202,516.20x = 303,191.10 × 123,784.20
  4. Step 4: Simplify right side
    202,516.20x = 37,530,267,760.62
  5. Step 5: Solve for x
    x = 37,530,267,760.62/202,516.20
  6. Step 6: Final answer
    x = 185,319.83

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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.