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Finding the Fourth Proportional to 203,644.87, 305,368.66 and 119,432.61

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Solution

The fourth proportional to 203,644.87, 305,368.66 and 119,432.61 is: 179,091.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,644.87 : 305,368.66 = 119,432.61 : x
  2. Step 2: Convert to fraction form
    203,644.87/305,368.66 = 119,432.61/x
  3. Step 3: Cross multiply
    203,644.87x = 305,368.66 × 119,432.61
  4. Step 4: Simplify right side
    203,644.87x = 36,470,976,076.00
  5. Step 5: Solve for x
    x = 36,470,976,076.00/203,644.87
  6. Step 6: Final answer
    x = 179,091.06

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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.