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Finding the Fourth Proportional to 123.78, 185.46 and 87.64

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Solution

The fourth proportional to 123.78, 185.46 and 87.64 is: 131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.78 : 185.46 = 87.64 : x
  2. Step 2: Convert to fraction form
    123.78/185.46 = 87.64/x
  3. Step 3: Cross multiply
    123.78x = 185.46 × 87.64
  4. Step 4: Simplify right side
    123.78x = 16,253.71
  5. Step 5: Solve for x
    x = 16,253.71/123.78
  6. Step 6: Final answer
    x = 131.31

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