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Finding the Fourth Proportional to 74.48, 111.68 and 71.12

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Solution

The fourth proportional to 74.48, 111.68 and 71.12 is: 106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.48 : 111.68 = 71.12 : x
  2. Step 2: Convert to fraction form
    74.48/111.68 = 71.12/x
  3. Step 3: Cross multiply
    74.48x = 111.68 × 71.12
  4. Step 4: Simplify right side
    74.48x = 7,942.68
  5. Step 5: Solve for x
    x = 7,942.68/74.48
  6. Step 6: Final answer
    x = 106.64

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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.