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Finding the Fourth Proportional to 124.21, 186.07 and 91.81

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Solution

The fourth proportional to 124.21, 186.07 and 91.81 is: 137.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.21 : 186.07 = 91.81 : x
  2. Step 2: Convert to fraction form
    124.21/186.07 = 91.81/x
  3. Step 3: Cross multiply
    124.21x = 186.07 × 91.81
  4. Step 4: Simplify right side
    124.21x = 17,082.42
  5. Step 5: Solve for x
    x = 17,082.42/124.21
  6. Step 6: Final answer
    x = 137.52

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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.