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Finding the Fourth Proportional to 138.72, 208.16 and 98.40

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Solution

The fourth proportional to 138.72, 208.16 and 98.40 is: 147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.72 : 208.16 = 98.40 : x
  2. Step 2: Convert to fraction form
    138.72/208.16 = 98.40/x
  3. Step 3: Cross multiply
    138.72x = 208.16 × 98.40
  4. Step 4: Simplify right side
    138.72x = 20,482.94
  5. Step 5: Solve for x
    x = 20,482.94/138.72
  6. Step 6: Final answer
    x = 147.66

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