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Finding the Fourth Proportional to 203,722.56, 281,123.50 and 123,194.49

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Solution

The fourth proportional to 203,722.56, 281,123.50 and 123,194.49 is: 170,000.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,722.56 : 281,123.50 = 123,194.49 : x
  2. Step 2: Convert to fraction form
    203,722.56/281,123.50 = 123,194.49/x
  3. Step 3: Cross multiply
    203,722.56x = 281,123.50 × 123,194.49
  4. Step 4: Simplify right side
    203,722.56x = 34,632,866,209.52
  5. Step 5: Solve for x
    x = 34,632,866,209.52/203,722.56
  6. Step 6: Final answer
    x = 170,000.15

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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.