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Finding the Fourth Proportional to 117, 161.45 and 106.67

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Solution

The fourth proportional to 117, 161.45 and 106.67 is: 147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 161.45 = 106.67 : x
  2. Step 2: Convert to fraction form
    117/161.45 = 106.67/x
  3. Step 3: Cross multiply
    117x = 161.45 × 106.67
  4. Step 4: Simplify right side
    117x = 17,221.74
  5. Step 5: Solve for x
    x = 17,221.74/117
  6. Step 6: Final answer
    x = 147.19

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Why These Related Problems?

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