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Finding the Fourth Proportional to 111.50, 153.79 and 78.76

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Solution

The fourth proportional to 111.50, 153.79 and 78.76 is: 108.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.50 : 153.79 = 78.76 : x
  2. Step 2: Convert to fraction form
    111.50/153.79 = 78.76/x
  3. Step 3: Cross multiply
    111.50x = 153.79 × 78.76
  4. Step 4: Simplify right side
    111.50x = 12,111.92
  5. Step 5: Solve for x
    x = 12,111.92/111.50
  6. Step 6: Final answer
    x = 108.63

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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.