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Finding the Fourth Proportional to 114.70, 157.36 and 107.72

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Solution

The fourth proportional to 114.70, 157.36 and 107.72 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.70 : 157.36 = 107.72 : x
  2. Step 2: Convert to fraction form
    114.70/157.36 = 107.72/x
  3. Step 3: Cross multiply
    114.70x = 157.36 × 107.72
  4. Step 4: Simplify right side
    114.70x = 16,950.82
  5. Step 5: Solve for x
    x = 16,950.82/114.70
  6. Step 6: Final answer
    x = 147.78

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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.