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Finding the Fourth Proportional to 203,189.70, 280,538.81 and 126,825.13

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Solution

The fourth proportional to 203,189.70, 280,538.81 and 126,825.13 is: 175,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,189.70 : 280,538.81 = 126,825.13 : x
  2. Step 2: Convert to fraction form
    203,189.70/280,538.81 = 126,825.13/x
  3. Step 3: Cross multiply
    203,189.70x = 280,538.81 × 126,825.13
  4. Step 4: Simplify right side
    203,189.70x = 35,579,371,048.30
  5. Step 5: Solve for x
    x = 35,579,371,048.30/203,189.70
  6. Step 6: Final answer
    x = 175,104.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.