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Finding the Fourth Proportional to 135.72, 187.32 and 102.92

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Solution

The fourth proportional to 135.72, 187.32 and 102.92 is: 142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.72 : 187.32 = 102.92 : x
  2. Step 2: Convert to fraction form
    135.72/187.32 = 102.92/x
  3. Step 3: Cross multiply
    135.72x = 187.32 × 102.92
  4. Step 4: Simplify right side
    135.72x = 19,277.52
  5. Step 5: Solve for x
    x = 19,277.52/135.72
  6. Step 6: Final answer
    x = 142.04

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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.