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Finding the Fourth Proportional to 111.48, 153.86 and 67.82

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Solution

The fourth proportional to 111.48, 153.86 and 67.82 is: 93.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.48 : 153.86 = 67.82 : x
  2. Step 2: Convert to fraction form
    111.48/153.86 = 67.82/x
  3. Step 3: Cross multiply
    111.48x = 153.86 × 67.82
  4. Step 4: Simplify right side
    111.48x = 10,434.79
  5. Step 5: Solve for x
    x = 10,434.79/111.48
  6. Step 6: Final answer
    x = 93.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.