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Finding the Fourth Proportional to 171,449.92, 257,081.13 and 136,138.07

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Solution

The fourth proportional to 171,449.92, 257,081.13 and 136,138.07 is: 204,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,449.92 : 257,081.13 = 136,138.07 : x
  2. Step 2: Convert to fraction form
    171,449.92/257,081.13 = 136,138.07/x
  3. Step 3: Cross multiply
    171,449.92x = 257,081.13 × 136,138.07
  4. Step 4: Simplify right side
    171,449.92x = 34,998,528,871.62
  5. Step 5: Solve for x
    x = 34,998,528,871.62/171,449.92
  6. Step 6: Final answer
    x = 204,132.66

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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.