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Finding the Fourth Proportional to 127.42, 191.42 and 116.48

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Solution

The fourth proportional to 127.42, 191.42 and 116.48 is: 174.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 191.42 = 116.48 : x
  2. Step 2: Convert to fraction form
    127.42/191.42 = 116.48/x
  3. Step 3: Cross multiply
    127.42x = 191.42 × 116.48
  4. Step 4: Simplify right side
    127.42x = 22,297.37
  5. Step 5: Solve for x
    x = 22,297.37/127.42
  6. Step 6: Final answer
    x = 174.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.