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Finding the Fourth Proportional to 127.93, 191.90 and 31.75

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Solution

The fourth proportional to 127.93, 191.90 and 31.75 is: 47.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.93 : 191.90 = 31.75 : x
  2. Step 2: Convert to fraction form
    127.93/191.90 = 31.75/x
  3. Step 3: Cross multiply
    127.93x = 191.90 × 31.75
  4. Step 4: Simplify right side
    127.93x = 6,091.87
  5. Step 5: Solve for x
    x = 6,091.87/127.93
  6. Step 6: Final answer
    x = 47.62

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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.