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Finding the Fourth Proportional to 124.97, 187.64 and 109.13

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Solution

The fourth proportional to 124.97, 187.64 and 109.13 is: 163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.97 : 187.64 = 109.13 : x
  2. Step 2: Convert to fraction form
    124.97/187.64 = 109.13/x
  3. Step 3: Cross multiply
    124.97x = 187.64 × 109.13
  4. Step 4: Simplify right side
    124.97x = 20,476.61
  5. Step 5: Solve for x
    x = 20,476.61/124.97
  6. Step 6: Final answer
    x = 163.85

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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.