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Finding the Fourth Proportional to 127.86, 190.52 and 122.64

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Solution

The fourth proportional to 127.86, 190.52 and 122.64 is: 182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 190.52 = 122.64 : x
  2. Step 2: Convert to fraction form
    127.86/190.52 = 122.64/x
  3. Step 3: Cross multiply
    127.86x = 190.52 × 122.64
  4. Step 4: Simplify right side
    127.86x = 23,364.76
  5. Step 5: Solve for x
    x = 23,364.76/127.86
  6. Step 6: Final answer
    x = 182.74

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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.