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Finding the Fourth Proportional to 187.92, 259.14 and 125.76

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Solution

The fourth proportional to 187.92, 259.14 and 125.76 is: 173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.92 : 259.14 = 125.76 : x
  2. Step 2: Convert to fraction form
    187.92/259.14 = 125.76/x
  3. Step 3: Cross multiply
    187.92x = 259.14 × 125.76
  4. Step 4: Simplify right side
    187.92x = 32,589.45
  5. Step 5: Solve for x
    x = 32,589.45/187.92
  6. Step 6: Final answer
    x = 173.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.