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Finding the Fourth Proportional to 121.00, 166.93 and 71.85

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Solution

The fourth proportional to 121.00, 166.93 and 71.85 is: 99.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.00 : 166.93 = 71.85 : x
  2. Step 2: Convert to fraction form
    121.00/166.93 = 71.85/x
  3. Step 3: Cross multiply
    121.00x = 166.93 × 71.85
  4. Step 4: Simplify right side
    121.00x = 11,993.35
  5. Step 5: Solve for x
    x = 11,993.35/121.00
  6. Step 6: Final answer
    x = 99.12

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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.