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Finding the Fourth Proportional to 124.98, 186 and 120.66

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Solution

The fourth proportional to 124.98, 186 and 120.66 is: 179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.98 : 186 = 120.66 : x
  2. Step 2: Convert to fraction form
    124.98/186 = 120.66/x
  3. Step 3: Cross multiply
    124.98x = 186 × 120.66
  4. Step 4: Simplify right side
    124.98x = 22,442.76
  5. Step 5: Solve for x
    x = 22,442.76/124.98
  6. Step 6: Final answer
    x = 179.57

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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.