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Finding the Fourth Proportional to 74.74, 111.42 and 73.57

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Solution

The fourth proportional to 74.74, 111.42 and 73.57 is: 109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.74 : 111.42 = 73.57 : x
  2. Step 2: Convert to fraction form
    74.74/111.42 = 73.57/x
  3. Step 3: Cross multiply
    74.74x = 111.42 × 73.57
  4. Step 4: Simplify right side
    74.74x = 8,197.17
  5. Step 5: Solve for x
    x = 8,197.17/74.74
  6. Step 6: Final answer
    x = 109.68

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Why These Related Problems?

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