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Finding the Fourth Proportional to 203,954.80, 305,932.20 and 115,381.30

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Solution

The fourth proportional to 203,954.80, 305,932.20 and 115,381.30 is: 173,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,954.80 : 305,932.20 = 115,381.30 : x
  2. Step 2: Convert to fraction form
    203,954.80/305,932.20 = 115,381.30/x
  3. Step 3: Cross multiply
    203,954.80x = 305,932.20 × 115,381.30
  4. Step 4: Simplify right side
    203,954.80x = 35,298,854,947.86
  5. Step 5: Solve for x
    x = 35,298,854,947.86/203,954.80
  6. Step 6: Final answer
    x = 173,071.95

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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.