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Finding the Fourth Proportional to 147.87, 221.94 and 121.14

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Solution

The fourth proportional to 147.87, 221.94 and 121.14 is: 181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.87 : 221.94 = 121.14 : x
  2. Step 2: Convert to fraction form
    147.87/221.94 = 121.14/x
  3. Step 3: Cross multiply
    147.87x = 221.94 × 121.14
  4. Step 4: Simplify right side
    147.87x = 26,885.81
  5. Step 5: Solve for x
    x = 26,885.81/147.87
  6. Step 6: Final answer
    x = 181.82

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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.