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Finding the Fourth Proportional to 111.50, 154.61 and 105.29

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Solution

The fourth proportional to 111.50, 154.61 and 105.29 is: 146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.50 : 154.61 = 105.29 : x
  2. Step 2: Convert to fraction form
    111.50/154.61 = 105.29/x
  3. Step 3: Cross multiply
    111.50x = 154.61 × 105.29
  4. Step 4: Simplify right side
    111.50x = 16,278.89
  5. Step 5: Solve for x
    x = 16,278.89/111.50
  6. Step 6: Final answer
    x = 146.00

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.