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Finding the Fourth Proportional to 74.68, 111.76 and 67.12

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Solution

The fourth proportional to 74.68, 111.76 and 67.12 is: 100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.68 : 111.76 = 67.12 : x
  2. Step 2: Convert to fraction form
    74.68/111.76 = 67.12/x
  3. Step 3: Cross multiply
    74.68x = 111.76 × 67.12
  4. Step 4: Simplify right side
    74.68x = 7,501.33
  5. Step 5: Solve for x
    x = 7,501.33/74.68
  6. Step 6: Final answer
    x = 100.45

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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.