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Finding the Fourth Proportional to 172,046.39, 258,069.49 and 53,727.87

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Solution

The fourth proportional to 172,046.39, 258,069.49 and 53,727.87 is: 80,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,046.39 : 258,069.49 = 53,727.87 : x
  2. Step 2: Convert to fraction form
    172,046.39/258,069.49 = 53,727.87/x
  3. Step 3: Cross multiply
    172,046.39x = 258,069.49 × 53,727.87
  4. Step 4: Simplify right side
    172,046.39x = 13,865,524,009.69
  5. Step 5: Solve for x
    x = 13,865,524,009.69/172,046.39
  6. Step 6: Final answer
    x = 80,591.78

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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.