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Finding the Fourth Proportional to 171,969.12, 257,648.46 and 71,908.74

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Solution

The fourth proportional to 171,969.12, 257,648.46 and 71,908.74 is: 107,735.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,969.12 : 257,648.46 = 71,908.74 : x
  2. Step 2: Convert to fraction form
    171,969.12/257,648.46 = 71,908.74/x
  3. Step 3: Cross multiply
    171,969.12x = 257,648.46 × 71,908.74
  4. Step 4: Simplify right side
    171,969.12x = 18,527,176,121.54
  5. Step 5: Solve for x
    x = 18,527,176,121.54/171,969.12
  6. Step 6: Final answer
    x = 107,735.48

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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.