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Finding the Fourth Proportional to 127.12, 189.78 and 116.96

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Solution

The fourth proportional to 127.12, 189.78 and 116.96 is: 174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.12 : 189.78 = 116.96 : x
  2. Step 2: Convert to fraction form
    127.12/189.78 = 116.96/x
  3. Step 3: Cross multiply
    127.12x = 189.78 × 116.96
  4. Step 4: Simplify right side
    127.12x = 22,196.67
  5. Step 5: Solve for x
    x = 22,196.67/127.12
  6. Step 6: Final answer
    x = 174.61

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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.