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Finding the Fourth Proportional to 124.81, 186.23 and 111.17

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Solution

The fourth proportional to 124.81, 186.23 and 111.17 is: 165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.81 : 186.23 = 111.17 : x
  2. Step 2: Convert to fraction form
    124.81/186.23 = 111.17/x
  3. Step 3: Cross multiply
    124.81x = 186.23 × 111.17
  4. Step 4: Simplify right side
    124.81x = 20,703.93
  5. Step 5: Solve for x
    x = 20,703.93/124.81
  6. Step 6: Final answer
    x = 165.89

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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.