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Finding the Fourth Proportional to 206,321.10, 309,190.05 and 127,200.30

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Solution

The fourth proportional to 206,321.10, 309,190.05 and 127,200.30 is: 190,620.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,321.10 : 309,190.05 = 127,200.30 : x
  2. Step 2: Convert to fraction form
    206,321.10/309,190.05 = 127,200.30/x
  3. Step 3: Cross multiply
    206,321.10x = 309,190.05 × 127,200.30
  4. Step 4: Simplify right side
    206,321.10x = 39,329,067,117.02
  5. Step 5: Solve for x
    x = 39,329,067,117.02/206,321.10
  6. Step 6: Final answer
    x = 190,620.67

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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.