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Finding the Fourth Proportional to 101.61, 152.26 and 81.32

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Solution

The fourth proportional to 101.61, 152.26 and 81.32 is: 121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.61 : 152.26 = 81.32 : x
  2. Step 2: Convert to fraction form
    101.61/152.26 = 81.32/x
  3. Step 3: Cross multiply
    101.61x = 152.26 × 81.32
  4. Step 4: Simplify right side
    101.61x = 12,380.82
  5. Step 5: Solve for x
    x = 12,380.82/101.61
  6. Step 6: Final answer
    x = 121.85

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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.