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Finding the Fourth Proportional to 171,581.31, 257,375.70 and 120,772.71

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Solution

The fourth proportional to 171,581.31, 257,375.70 and 120,772.71 is: 181,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,581.31 : 257,375.70 = 120,772.71 : x
  2. Step 2: Convert to fraction form
    171,581.31/257,375.70 = 120,772.71/x
  3. Step 3: Cross multiply
    171,581.31x = 257,375.70 × 120,772.71
  4. Step 4: Simplify right side
    171,581.31x = 31,083,960,777.15
  5. Step 5: Solve for x
    x = 31,083,960,777.15/171,581.31
  6. Step 6: Final answer
    x = 181,161.69

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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.