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Finding the Fourth Proportional to 189,694.70, 261,833.22 and 125,211

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Solution

The fourth proportional to 189,694.70, 261,833.22 and 125,211 is: 172,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,694.70 : 261,833.22 = 125,211 : x
  2. Step 2: Convert to fraction form
    189,694.70/261,833.22 = 125,211/x
  3. Step 3: Cross multiply
    189,694.70x = 261,833.22 × 125,211
  4. Step 4: Simplify right side
    189,694.70x = 32,784,399,309.42
  5. Step 5: Solve for x
    x = 32,784,399,309.42/189,694.70
  6. Step 6: Final answer
    x = 172,827.18

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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.