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Finding the Fourth Proportional to 117.24, 161.64 and 103.56

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Solution

The fourth proportional to 117.24, 161.64 and 103.56 is: 142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.24 : 161.64 = 103.56 : x
  2. Step 2: Convert to fraction form
    117.24/161.64 = 103.56/x
  3. Step 3: Cross multiply
    117.24x = 161.64 × 103.56
  4. Step 4: Simplify right side
    117.24x = 16,739.44
  5. Step 5: Solve for x
    x = 16,739.44/117.24
  6. Step 6: Final answer
    x = 142.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.