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Finding the Fourth Proportional to 121.65, 166.99 and 107.53

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Solution

The fourth proportional to 121.65, 166.99 and 107.53 is: 147.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.65 : 166.99 = 107.53 : x
  2. Step 2: Convert to fraction form
    121.65/166.99 = 107.53/x
  3. Step 3: Cross multiply
    121.65x = 166.99 × 107.53
  4. Step 4: Simplify right side
    121.65x = 17,955.65
  5. Step 5: Solve for x
    x = 17,955.65/121.65
  6. Step 6: Final answer
    x = 147.60

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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.