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Finding the Fourth Proportional to 127.64, 191.54 and 69.86

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Solution

The fourth proportional to 127.64, 191.54 and 69.86 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.64 : 191.54 = 69.86 : x
  2. Step 2: Convert to fraction form
    127.64/191.54 = 69.86/x
  3. Step 3: Cross multiply
    127.64x = 191.54 × 69.86
  4. Step 4: Simplify right side
    127.64x = 13,380.98
  5. Step 5: Solve for x
    x = 13,380.98/127.64
  6. Step 6: Final answer
    x = 104.83

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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.