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Finding the Fourth Proportional to 203,619, 305,324.16 and 107,607.84

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Solution

The fourth proportional to 203,619, 305,324.16 and 107,607.84 is: 161,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,619 : 305,324.16 = 107,607.84 : x
  2. Step 2: Convert to fraction form
    203,619/305,324.16 = 107,607.84/x
  3. Step 3: Cross multiply
    203,619x = 305,324.16 × 107,607.84
  4. Step 4: Simplify right side
    203,619x = 32,855,273,357.41
  5. Step 5: Solve for x
    x = 32,855,273,357.41/203,619
  6. Step 6: Final answer
    x = 161,356.62

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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.