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Finding the Fourth Proportional to 187.74, 259.06 and 125.68

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Solution

The fourth proportional to 187.74, 259.06 and 125.68 is: 173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 259.06 = 125.68 : x
  2. Step 2: Convert to fraction form
    187.74/259.06 = 125.68/x
  3. Step 3: Cross multiply
    187.74x = 259.06 × 125.68
  4. Step 4: Simplify right side
    187.74x = 32,558.66
  5. Step 5: Solve for x
    x = 32,558.66/187.74
  6. Step 6: Final answer
    x = 173.42

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