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Finding the Fourth Proportional to 127.31, 175.74 and 85.92

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Solution

The fourth proportional to 127.31, 175.74 and 85.92 is: 118.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.31 : 175.74 = 85.92 : x
  2. Step 2: Convert to fraction form
    127.31/175.74 = 85.92/x
  3. Step 3: Cross multiply
    127.31x = 175.74 × 85.92
  4. Step 4: Simplify right side
    127.31x = 15,099.58
  5. Step 5: Solve for x
    x = 15,099.58/127.31
  6. Step 6: Final answer
    x = 118.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.