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Finding the Fourth Proportional to 189,169.68, 261,072.46 and 141,340

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Solution

The fourth proportional to 189,169.68, 261,072.46 and 141,340 is: 195,062.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,169.68 : 261,072.46 = 141,340 : x
  2. Step 2: Convert to fraction form
    189,169.68/261,072.46 = 141,340/x
  3. Step 3: Cross multiply
    189,169.68x = 261,072.46 × 141,340
  4. Step 4: Simplify right side
    189,169.68x = 36,899,981,496.40
  5. Step 5: Solve for x
    x = 36,899,981,496.40/189,169.68
  6. Step 6: Final answer
    x = 195,062.87

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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.