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Finding the Fourth Proportional to 107.27, 147.37 and 86.47

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Solution

The fourth proportional to 107.27, 147.37 and 86.47 is: 118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.27 : 147.37 = 86.47 : x
  2. Step 2: Convert to fraction form
    107.27/147.37 = 86.47/x
  3. Step 3: Cross multiply
    107.27x = 147.37 × 86.47
  4. Step 4: Simplify right side
    107.27x = 12,742.66
  5. Step 5: Solve for x
    x = 12,742.66/107.27
  6. Step 6: Final answer
    x = 118.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.