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Finding the Fourth Proportional to 125.01, 186.23 and 120.65

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Solution

The fourth proportional to 125.01, 186.23 and 120.65 is: 179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.01 : 186.23 = 120.65 : x
  2. Step 2: Convert to fraction form
    125.01/186.23 = 120.65/x
  3. Step 3: Cross multiply
    125.01x = 186.23 × 120.65
  4. Step 4: Simplify right side
    125.01x = 22,469.42
  5. Step 5: Solve for x
    x = 22,469.42/125.01
  6. Step 6: Final answer
    x = 179.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.