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Finding the Fourth Proportional to 121.50, 181.44 and 98.62

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Solution

The fourth proportional to 121.50, 181.44 and 98.62 is: 147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.50 : 181.44 = 98.62 : x
  2. Step 2: Convert to fraction form
    121.50/181.44 = 98.62/x
  3. Step 3: Cross multiply
    121.50x = 181.44 × 98.62
  4. Step 4: Simplify right side
    121.50x = 17,893.16
  5. Step 5: Solve for x
    x = 17,893.16/121.50
  6. Step 6: Final answer
    x = 147.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.