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Finding the Fourth Proportional to 127.60, 190.48 and 113.92

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Solution

The fourth proportional to 127.60, 190.48 and 113.92 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.60 : 190.48 = 113.92 : x
  2. Step 2: Convert to fraction form
    127.60/190.48 = 113.92/x
  3. Step 3: Cross multiply
    127.60x = 190.48 × 113.92
  4. Step 4: Simplify right side
    127.60x = 21,699.48
  5. Step 5: Solve for x
    x = 21,699.48/127.60
  6. Step 6: Final answer
    x = 170.06

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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.