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Finding the Fourth Proportional to 127.32, 189.98 and 113.70

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Solution

The fourth proportional to 127.32, 189.98 and 113.70 is: 169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.32 : 189.98 = 113.70 : x
  2. Step 2: Convert to fraction form
    127.32/189.98 = 113.70/x
  3. Step 3: Cross multiply
    127.32x = 189.98 × 113.70
  4. Step 4: Simplify right side
    127.32x = 21,600.73
  5. Step 5: Solve for x
    x = 21,600.73/127.32
  6. Step 6: Final answer
    x = 169.66

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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.