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Finding the Fourth Proportional to 103.86, 156.12 and 96.34

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Solution

The fourth proportional to 103.86, 156.12 and 96.34 is: 144.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.86 : 156.12 = 96.34 : x
  2. Step 2: Convert to fraction form
    103.86/156.12 = 96.34/x
  3. Step 3: Cross multiply
    103.86x = 156.12 × 96.34
  4. Step 4: Simplify right side
    103.86x = 15,040.60
  5. Step 5: Solve for x
    x = 15,040.60/103.86
  6. Step 6: Final answer
    x = 144.82

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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.