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Finding the Fourth Proportional to 74.62, 111.90 and 34.06

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Solution

The fourth proportional to 74.62, 111.90 and 34.06 is: 51.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.62 : 111.90 = 34.06 : x
  2. Step 2: Convert to fraction form
    74.62/111.90 = 34.06/x
  3. Step 3: Cross multiply
    74.62x = 111.90 × 34.06
  4. Step 4: Simplify right side
    74.62x = 3,811.31
  5. Step 5: Solve for x
    x = 3,811.31/74.62
  6. Step 6: Final answer
    x = 51.08

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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.