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Finding the Fourth Proportional to 127.69, 191.53 and 76.39

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Solution

The fourth proportional to 127.69, 191.53 and 76.39 is: 114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.69 : 191.53 = 76.39 : x
  2. Step 2: Convert to fraction form
    127.69/191.53 = 76.39/x
  3. Step 3: Cross multiply
    127.69x = 191.53 × 76.39
  4. Step 4: Simplify right side
    127.69x = 14,630.59
  5. Step 5: Solve for x
    x = 14,630.59/127.69
  6. Step 6: Final answer
    x = 114.58

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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.