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Finding the Fourth Proportional to 171,405.77, 257,274.50 and 82,721.70

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Solution

The fourth proportional to 171,405.77, 257,274.50 and 82,721.70 is: 124,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,405.77 : 257,274.50 = 82,721.70 : x
  2. Step 2: Convert to fraction form
    171,405.77/257,274.50 = 82,721.70/x
  3. Step 3: Cross multiply
    171,405.77x = 257,274.50 × 82,721.70
  4. Step 4: Simplify right side
    171,405.77x = 21,282,183,593.04
  5. Step 5: Solve for x
    x = 21,282,183,593.04/171,405.77
  6. Step 6: Final answer
    x = 124,162.59

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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.