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Finding the Fourth Proportional to 200,714.80, 301,072.20 and 126,065.20

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Solution

The fourth proportional to 200,714.80, 301,072.20 and 126,065.20 is: 189,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,714.80 : 301,072.20 = 126,065.20 : x
  2. Step 2: Convert to fraction form
    200,714.80/301,072.20 = 126,065.20/x
  3. Step 3: Cross multiply
    200,714.80x = 301,072.20 × 126,065.20
  4. Step 4: Simplify right side
    200,714.80x = 37,954,727,107.44
  5. Step 5: Solve for x
    x = 37,954,727,107.44/200,714.80
  6. Step 6: Final answer
    x = 189,097.80

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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.