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Finding the Fourth Proportional to 124.85, 171.04 and 120.23

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Solution

The fourth proportional to 124.85, 171.04 and 120.23 is: 164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.85 : 171.04 = 120.23 : x
  2. Step 2: Convert to fraction form
    124.85/171.04 = 120.23/x
  3. Step 3: Cross multiply
    124.85x = 171.04 × 120.23
  4. Step 4: Simplify right side
    124.85x = 20,564.14
  5. Step 5: Solve for x
    x = 20,564.14/124.85
  6. Step 6: Final answer
    x = 164.71

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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.