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Finding the Fourth Proportional to 127.14, 190.70 and 75.80

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Solution

The fourth proportional to 127.14, 190.70 and 75.80 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.14 : 190.70 = 75.80 : x
  2. Step 2: Convert to fraction form
    127.14/190.70 = 75.80/x
  3. Step 3: Cross multiply
    127.14x = 190.70 × 75.80
  4. Step 4: Simplify right side
    127.14x = 14,453.73
  5. Step 5: Solve for x
    x = 14,453.73/127.14
  6. Step 6: Final answer
    x = 113.68

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Why These Related Problems?

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