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Finding the Fourth Proportional to 103.77, 156.24 and 79.92

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Solution

The fourth proportional to 103.77, 156.24 and 79.92 is: 120.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.77 : 156.24 = 79.92 : x
  2. Step 2: Convert to fraction form
    103.77/156.24 = 79.92/x
  3. Step 3: Cross multiply
    103.77x = 156.24 × 79.92
  4. Step 4: Simplify right side
    103.77x = 12,486.70
  5. Step 5: Solve for x
    x = 12,486.70/103.77
  6. Step 6: Final answer
    x = 120.33

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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.