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Finding the Fourth Proportional to 105.36, 157.48 and 74.72

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Solution

The fourth proportional to 105.36, 157.48 and 74.72 is: 111.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.36 : 157.48 = 74.72 : x
  2. Step 2: Convert to fraction form
    105.36/157.48 = 74.72/x
  3. Step 3: Cross multiply
    105.36x = 157.48 × 74.72
  4. Step 4: Simplify right side
    105.36x = 11,766.91
  5. Step 5: Solve for x
    x = 11,766.91/105.36
  6. Step 6: Final answer
    x = 111.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.