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Finding the Fourth Proportional to 107.14, 147.78 and 76

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Solution

The fourth proportional to 107.14, 147.78 and 76 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.14 : 147.78 = 76 : x
  2. Step 2: Convert to fraction form
    107.14/147.78 = 76/x
  3. Step 3: Cross multiply
    107.14x = 147.78 × 76
  4. Step 4: Simplify right side
    107.14x = 11,231.28
  5. Step 5: Solve for x
    x = 11,231.28/107.14
  6. Step 6: Final answer
    x = 104.83

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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.