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Finding the Fourth Proportional to 203,212.27, 280,569.87 and 126,847.63

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Solution

The fourth proportional to 203,212.27, 280,569.87 and 126,847.63 is: 175,135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,212.27 : 280,569.87 = 126,847.63 : x
  2. Step 2: Convert to fraction form
    203,212.27/280,569.87 = 126,847.63/x
  3. Step 3: Cross multiply
    203,212.27x = 280,569.87 × 126,847.63
  4. Step 4: Simplify right side
    203,212.27x = 35,589,623,058.91
  5. Step 5: Solve for x
    x = 35,589,623,058.91/203,212.27
  6. Step 6: Final answer
    x = 175,135.21

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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.