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Finding the Fourth Proportional to 125.23, 186.35 and 120.91

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Solution

The fourth proportional to 125.23, 186.35 and 120.91 is: 179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.23 : 186.35 = 120.91 : x
  2. Step 2: Convert to fraction form
    125.23/186.35 = 120.91/x
  3. Step 3: Cross multiply
    125.23x = 186.35 × 120.91
  4. Step 4: Simplify right side
    125.23x = 22,531.58
  5. Step 5: Solve for x
    x = 22,531.58/125.23
  6. Step 6: Final answer
    x = 179.92

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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.