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Finding the Fourth Proportional to 137.85, 206.73 and 41.64

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Solution

The fourth proportional to 137.85, 206.73 and 41.64 is: 62.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.85 : 206.73 = 41.64 : x
  2. Step 2: Convert to fraction form
    137.85/206.73 = 41.64/x
  3. Step 3: Cross multiply
    137.85x = 206.73 × 41.64
  4. Step 4: Simplify right side
    137.85x = 8,608.24
  5. Step 5: Solve for x
    x = 8,608.24/137.85
  6. Step 6: Final answer
    x = 62.45

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