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Finding the Fourth Proportional to 111.02, 152.99 and 78.22

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Solution

The fourth proportional to 111.02, 152.99 and 78.22 is: 107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.02 : 152.99 = 78.22 : x
  2. Step 2: Convert to fraction form
    111.02/152.99 = 78.22/x
  3. Step 3: Cross multiply
    111.02x = 152.99 × 78.22
  4. Step 4: Simplify right side
    111.02x = 11,966.11
  5. Step 5: Solve for x
    x = 11,966.11/111.02
  6. Step 6: Final answer
    x = 107.78

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Why These Related Problems?

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