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Finding the Fourth Proportional to 101.85, 152.74 and 67.83

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Solution

The fourth proportional to 101.85, 152.74 and 67.83 is: 101.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.85 : 152.74 = 67.83 : x
  2. Step 2: Convert to fraction form
    101.85/152.74 = 67.83/x
  3. Step 3: Cross multiply
    101.85x = 152.74 × 67.83
  4. Step 4: Simplify right side
    101.85x = 10,360.35
  5. Step 5: Solve for x
    x = 10,360.35/101.85
  6. Step 6: Final answer
    x = 101.72

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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.