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Finding the Fourth Proportional to 107.87, 148.83 and 74.69

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Solution

The fourth proportional to 107.87, 148.83 and 74.69 is: 103.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.87 : 148.83 = 74.69 : x
  2. Step 2: Convert to fraction form
    107.87/148.83 = 74.69/x
  3. Step 3: Cross multiply
    107.87x = 148.83 × 74.69
  4. Step 4: Simplify right side
    107.87x = 11,116.11
  5. Step 5: Solve for x
    x = 11,116.11/107.87
  6. Step 6: Final answer
    x = 103.05

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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.