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Finding the Fourth Proportional to 138.04, 206.85 and 77.19

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Solution

The fourth proportional to 138.04, 206.85 and 77.19 is: 115.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.04 : 206.85 = 77.19 : x
  2. Step 2: Convert to fraction form
    138.04/206.85 = 77.19/x
  3. Step 3: Cross multiply
    138.04x = 206.85 × 77.19
  4. Step 4: Simplify right side
    138.04x = 15,966.27
  5. Step 5: Solve for x
    x = 15,966.27/138.04
  6. Step 6: Final answer
    x = 115.67

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