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Finding the Fourth Proportional to 127.95, 191.62 and 82.16

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Solution

The fourth proportional to 127.95, 191.62 and 82.16 is: 123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.95 : 191.62 = 82.16 : x
  2. Step 2: Convert to fraction form
    127.95/191.62 = 82.16/x
  3. Step 3: Cross multiply
    127.95x = 191.62 × 82.16
  4. Step 4: Simplify right side
    127.95x = 15,743.36
  5. Step 5: Solve for x
    x = 15,743.36/127.95
  6. Step 6: Final answer
    x = 123.05

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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.