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Finding the Fourth Proportional to 121.98, 183.06 and 114.78

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Solution

The fourth proportional to 121.98, 183.06 and 114.78 is: 172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.98 : 183.06 = 114.78 : x
  2. Step 2: Convert to fraction form
    121.98/183.06 = 114.78/x
  3. Step 3: Cross multiply
    121.98x = 183.06 × 114.78
  4. Step 4: Simplify right side
    121.98x = 21,011.63
  5. Step 5: Solve for x
    x = 21,011.63/121.98
  6. Step 6: Final answer
    x = 172.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.