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Finding the Fourth Proportional to 171,824.28, 257,836.86 and 71,976

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Solution

The fourth proportional to 171,824.28, 257,836.86 and 71,976 is: 108,006.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,824.28 : 257,836.86 = 71,976 : x
  2. Step 2: Convert to fraction form
    171,824.28/257,836.86 = 71,976/x
  3. Step 3: Cross multiply
    171,824.28x = 257,836.86 × 71,976
  4. Step 4: Simplify right side
    171,824.28x = 18,558,065,835.36
  5. Step 5: Solve for x
    x = 18,558,065,835.36/171,824.28
  6. Step 6: Final answer
    x = 108,006.07

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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.