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Finding the Fourth Proportional to 172,422.87, 258,634.45 and 82,444.41

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Solution

The fourth proportional to 172,422.87, 258,634.45 and 82,444.41 is: 123,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,422.87 : 258,634.45 = 82,444.41 : x
  2. Step 2: Convert to fraction form
    172,422.87/258,634.45 = 82,444.41/x
  3. Step 3: Cross multiply
    172,422.87x = 258,634.45 × 82,444.41
  4. Step 4: Simplify right side
    172,422.87x = 21,322,965,035.99
  5. Step 5: Solve for x
    x = 21,322,965,035.99/172,422.87
  6. Step 6: Final answer
    x = 123,666.69

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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.