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Finding the Fourth Proportional to 147.66, 222.38 and 111.84

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Solution

The fourth proportional to 147.66, 222.38 and 111.84 is: 168.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 222.38 = 111.84 : x
  2. Step 2: Convert to fraction form
    147.66/222.38 = 111.84/x
  3. Step 3: Cross multiply
    147.66x = 222.38 × 111.84
  4. Step 4: Simplify right side
    147.66x = 24,870.98
  5. Step 5: Solve for x
    x = 24,870.98/147.66
  6. Step 6: Final answer
    x = 168.43

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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.