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Finding the Fourth Proportional to 107.78, 148.56 and 74.97

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Solution

The fourth proportional to 107.78, 148.56 and 74.97 is: 103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 148.56 = 74.97 : x
  2. Step 2: Convert to fraction form
    107.78/148.56 = 74.97/x
  3. Step 3: Cross multiply
    107.78x = 148.56 × 74.97
  4. Step 4: Simplify right side
    107.78x = 11,137.54
  5. Step 5: Solve for x
    x = 11,137.54/107.78
  6. Step 6: Final answer
    x = 103.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.