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Finding the Fourth Proportional to 121.88, 183.48 and 107

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Solution

The fourth proportional to 121.88, 183.48 and 107 is: 161.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.88 : 183.48 = 107 : x
  2. Step 2: Convert to fraction form
    121.88/183.48 = 107/x
  3. Step 3: Cross multiply
    121.88x = 183.48 × 107
  4. Step 4: Simplify right side
    121.88x = 19,632.36
  5. Step 5: Solve for x
    x = 19,632.36/121.88
  6. Step 6: Final answer
    x = 161.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.