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Finding the Fourth Proportional to 127.72, 190.64 and 116.90

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Solution

The fourth proportional to 127.72, 190.64 and 116.90 is: 174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.72 : 190.64 = 116.90 : x
  2. Step 2: Convert to fraction form
    127.72/190.64 = 116.90/x
  3. Step 3: Cross multiply
    127.72x = 190.64 × 116.90
  4. Step 4: Simplify right side
    127.72x = 22,285.16
  5. Step 5: Solve for x
    x = 22,285.16/127.72
  6. Step 6: Final answer
    x = 174.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.