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Finding the Fourth Proportional to 124.10, 187.10 and 112.38

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Solution

The fourth proportional to 124.10, 187.10 and 112.38 is: 169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.10 : 187.10 = 112.38 : x
  2. Step 2: Convert to fraction form
    124.10/187.10 = 112.38/x
  3. Step 3: Cross multiply
    124.10x = 187.10 × 112.38
  4. Step 4: Simplify right side
    124.10x = 21,026.30
  5. Step 5: Solve for x
    x = 21,026.30/124.10
  6. Step 6: Final answer
    x = 169.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.