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Finding the Fourth Proportional to 189,803.25, 261,954.81 and 109,229.31

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Solution

The fourth proportional to 189,803.25, 261,954.81 and 109,229.31 is: 150,751.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,803.25 : 261,954.81 = 109,229.31 : x
  2. Step 2: Convert to fraction form
    189,803.25/261,954.81 = 109,229.31/x
  3. Step 3: Cross multiply
    189,803.25x = 261,954.81 × 109,229.31
  4. Step 4: Simplify right side
    189,803.25x = 28,613,143,147.48
  5. Step 5: Solve for x
    x = 28,613,143,147.48/189,803.25
  6. Step 6: Final answer
    x = 150,751.60

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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.