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Finding the Fourth Proportional to 171,371.14, 256,609.59 and 137,908.42

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Solution

The fourth proportional to 171,371.14, 256,609.59 and 137,908.42 is: 206,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,371.14 : 256,609.59 = 137,908.42 : x
  2. Step 2: Convert to fraction form
    171,371.14/256,609.59 = 137,908.42/x
  3. Step 3: Cross multiply
    171,371.14x = 256,609.59 × 137,908.42
  4. Step 4: Simplify right side
    171,371.14x = 35,388,623,113.75
  5. Step 5: Solve for x
    x = 35,388,623,113.75/171,371.14
  6. Step 6: Final answer
    x = 206,502.82

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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.