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Finding the Fourth Proportional to 126.78, 191.03 and 104.45

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Solution

The fourth proportional to 126.78, 191.03 and 104.45 is: 157.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.78 : 191.03 = 104.45 : x
  2. Step 2: Convert to fraction form
    126.78/191.03 = 104.45/x
  3. Step 3: Cross multiply
    126.78x = 191.03 × 104.45
  4. Step 4: Simplify right side
    126.78x = 19,953.82
  5. Step 5: Solve for x
    x = 19,953.82/126.78
  6. Step 6: Final answer
    x = 157.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.