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Finding the Fourth Proportional to 206,180.80, 309,271.20 and 136,139.20

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Solution

The fourth proportional to 206,180.80, 309,271.20 and 136,139.20 is: 204,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,180.80 : 309,271.20 = 136,139.20 : x
  2. Step 2: Convert to fraction form
    206,180.80/309,271.20 = 136,139.20/x
  3. Step 3: Cross multiply
    206,180.80x = 309,271.20 × 136,139.20
  4. Step 4: Simplify right side
    206,180.80x = 42,103,933,751.04
  5. Step 5: Solve for x
    x = 42,103,933,751.04/206,180.80
  6. Step 6: Final answer
    x = 204,208.80

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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.