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Finding the Fourth Proportional to 103.87, 156.44 and 96.36

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Solution

The fourth proportional to 103.87, 156.44 and 96.36 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.87 : 156.44 = 96.36 : x
  2. Step 2: Convert to fraction form
    103.87/156.44 = 96.36/x
  3. Step 3: Cross multiply
    103.87x = 156.44 × 96.36
  4. Step 4: Simplify right side
    103.87x = 15,074.56
  5. Step 5: Solve for x
    x = 15,074.56/103.87
  6. Step 6: Final answer
    x = 145.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.