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Finding the Fourth Proportional to 136.96, 188.72 and 127.60

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Solution

The fourth proportional to 136.96, 188.72 and 127.60 is: 175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136.96 : 188.72 = 127.60 : x
  2. Step 2: Convert to fraction form
    136.96/188.72 = 127.60/x
  3. Step 3: Cross multiply
    136.96x = 188.72 × 127.60
  4. Step 4: Simplify right side
    136.96x = 24,080.67
  5. Step 5: Solve for x
    x = 24,080.67/136.96
  6. Step 6: Final answer
    x = 175.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.