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Finding the Fourth Proportional to 135.74, 202.78 and 123.62

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Solution

The fourth proportional to 135.74, 202.78 and 123.62 is: 184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.74 : 202.78 = 123.62 : x
  2. Step 2: Convert to fraction form
    135.74/202.78 = 123.62/x
  3. Step 3: Cross multiply
    135.74x = 202.78 × 123.62
  4. Step 4: Simplify right side
    135.74x = 25,067.66
  5. Step 5: Solve for x
    x = 25,067.66/135.74
  6. Step 6: Final answer
    x = 184.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.