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Finding the Fourth Proportional to 117.74, 161.49 and 103.16

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Solution

The fourth proportional to 117.74, 161.49 and 103.16 is: 141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.74 : 161.49 = 103.16 : x
  2. Step 2: Convert to fraction form
    117.74/161.49 = 103.16/x
  3. Step 3: Cross multiply
    117.74x = 161.49 × 103.16
  4. Step 4: Simplify right side
    117.74x = 16,658.50
  5. Step 5: Solve for x
    x = 16,658.50/117.74
  6. Step 6: Final answer
    x = 141.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.