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Finding the Fourth Proportional to 127.38, 191.01 and 45.09

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Solution

The fourth proportional to 127.38, 191.01 and 45.09 is: 67.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.38 : 191.01 = 45.09 : x
  2. Step 2: Convert to fraction form
    127.38/191.01 = 45.09/x
  3. Step 3: Cross multiply
    127.38x = 191.01 × 45.09
  4. Step 4: Simplify right side
    127.38x = 8,613.53
  5. Step 5: Solve for x
    x = 8,613.53/127.38
  6. Step 6: Final answer
    x = 67.62

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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.