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Finding the Fourth Proportional to 107.66, 148.73 and 83.41

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Solution

The fourth proportional to 107.66, 148.73 and 83.41 is: 115.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.66 : 148.73 = 83.41 : x
  2. Step 2: Convert to fraction form
    107.66/148.73 = 83.41/x
  3. Step 3: Cross multiply
    107.66x = 148.73 × 83.41
  4. Step 4: Simplify right side
    107.66x = 12,405.85
  5. Step 5: Solve for x
    x = 12,405.85/107.66
  6. Step 6: Final answer
    x = 115.23

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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.