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Finding the Fourth Proportional to 111.84, 167.58 and 90.24

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Solution

The fourth proportional to 111.84, 167.58 and 90.24 is: 135.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.84 : 167.58 = 90.24 : x
  2. Step 2: Convert to fraction form
    111.84/167.58 = 90.24/x
  3. Step 3: Cross multiply
    111.84x = 167.58 × 90.24
  4. Step 4: Simplify right side
    111.84x = 15,122.42
  5. Step 5: Solve for x
    x = 15,122.42/111.84
  6. Step 6: Final answer
    x = 135.21

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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.