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Finding the Fourth Proportional to 124.29, 186.26 and 107.05

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Solution

The fourth proportional to 124.29, 186.26 and 107.05 is: 160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.29 : 186.26 = 107.05 : x
  2. Step 2: Convert to fraction form
    124.29/186.26 = 107.05/x
  3. Step 3: Cross multiply
    124.29x = 186.26 × 107.05
  4. Step 4: Simplify right side
    124.29x = 19,939.13
  5. Step 5: Solve for x
    x = 19,939.13/124.29
  6. Step 6: Final answer
    x = 160.42

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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.