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Finding the Fourth Proportional to 105.42, 157.86 and 74.94

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Solution

The fourth proportional to 105.42, 157.86 and 74.94 is: 112.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.42 : 157.86 = 74.94 : x
  2. Step 2: Convert to fraction form
    105.42/157.86 = 74.94/x
  3. Step 3: Cross multiply
    105.42x = 157.86 × 74.94
  4. Step 4: Simplify right side
    105.42x = 11,830.03
  5. Step 5: Solve for x
    x = 11,830.03/105.42
  6. Step 6: Final answer
    x = 112.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.