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Finding the Fourth Proportional to 171,212.80, 256,866.44 and 71,419.92

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Solution

The fourth proportional to 171,212.80, 256,866.44 and 71,419.92 is: 107,149.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,212.80 : 256,866.44 = 71,419.92 : x
  2. Step 2: Convert to fraction form
    171,212.80/256,866.44 = 71,419.92/x
  3. Step 3: Cross multiply
    171,212.80x = 256,866.44 × 71,419.92
  4. Step 4: Simplify right side
    171,212.80x = 18,345,380,595.48
  5. Step 5: Solve for x
    x = 18,345,380,595.48/171,212.80
  6. Step 6: Final answer
    x = 107,149.59

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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.