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Finding the Fourth Proportional to 124.20, 186.11 and 89.86

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Solution

The fourth proportional to 124.20, 186.11 and 89.86 is: 134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.20 : 186.11 = 89.86 : x
  2. Step 2: Convert to fraction form
    124.20/186.11 = 89.86/x
  3. Step 3: Cross multiply
    124.20x = 186.11 × 89.86
  4. Step 4: Simplify right side
    124.20x = 16,724.12
  5. Step 5: Solve for x
    x = 16,724.12/124.20
  6. Step 6: Final answer
    x = 134.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.