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Finding the Fourth Proportional to 114.78, 157.44 and 107.78

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Solution

The fourth proportional to 114.78, 157.44 and 107.78 is: 147.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.78 : 157.44 = 107.78 : x
  2. Step 2: Convert to fraction form
    114.78/157.44 = 107.78/x
  3. Step 3: Cross multiply
    114.78x = 157.44 × 107.78
  4. Step 4: Simplify right side
    114.78x = 16,968.88
  5. Step 5: Solve for x
    x = 16,968.88/114.78
  6. Step 6: Final answer
    x = 147.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.