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Finding the Fourth Proportional to 186.74, 257.74 and 124.57

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Solution

The fourth proportional to 186.74, 257.74 and 124.57 is: 171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.74 : 257.74 = 124.57 : x
  2. Step 2: Convert to fraction form
    186.74/257.74 = 124.57/x
  3. Step 3: Cross multiply
    186.74x = 257.74 × 124.57
  4. Step 4: Simplify right side
    186.74x = 32,106.68
  5. Step 5: Solve for x
    x = 32,106.68/186.74
  6. Step 6: Final answer
    x = 171.93

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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.