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Finding the Fourth Proportional to 111.30, 153.63 and 78.56

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Solution

The fourth proportional to 111.30, 153.63 and 78.56 is: 108.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.30 : 153.63 = 78.56 : x
  2. Step 2: Convert to fraction form
    111.30/153.63 = 78.56/x
  3. Step 3: Cross multiply
    111.30x = 153.63 × 78.56
  4. Step 4: Simplify right side
    111.30x = 12,069.17
  5. Step 5: Solve for x
    x = 12,069.17/111.30
  6. Step 6: Final answer
    x = 108.44

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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.