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Finding the Fourth Proportional to 127.12, 189.70 and 116.78

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Solution

The fourth proportional to 127.12, 189.70 and 116.78 is: 174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.12 : 189.70 = 116.78 : x
  2. Step 2: Convert to fraction form
    127.12/189.70 = 116.78/x
  3. Step 3: Cross multiply
    127.12x = 189.70 × 116.78
  4. Step 4: Simplify right side
    127.12x = 22,153.17
  5. Step 5: Solve for x
    x = 22,153.17/127.12
  6. Step 6: Final answer
    x = 174.27

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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.