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Finding the Fourth Proportional to 135.06, 185.97 and 107.34

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Solution

The fourth proportional to 135.06, 185.97 and 107.34 is: 147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.06 : 185.97 = 107.34 : x
  2. Step 2: Convert to fraction form
    135.06/185.97 = 107.34/x
  3. Step 3: Cross multiply
    135.06x = 185.97 × 107.34
  4. Step 4: Simplify right side
    135.06x = 19,962.02
  5. Step 5: Solve for x
    x = 19,962.02/135.06
  6. Step 6: Final answer
    x = 147.80

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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.