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Finding the Fourth Proportional to 147.75, 203.90 and 96

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Solution

The fourth proportional to 147.75, 203.90 and 96 is: 132.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.75 : 203.90 = 96 : x
  2. Step 2: Convert to fraction form
    147.75/203.90 = 96/x
  3. Step 3: Cross multiply
    147.75x = 203.90 × 96
  4. Step 4: Simplify right side
    147.75x = 19,573.92
  5. Step 5: Solve for x
    x = 19,573.92/147.75
  6. Step 6: Final answer
    x = 132.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.