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Finding the Fourth Proportional to 123, 169.65 and 78.77

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Solution

The fourth proportional to 123, 169.65 and 78.77 is: 108.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123 : 169.65 = 78.77 : x
  2. Step 2: Convert to fraction form
    123/169.65 = 78.77/x
  3. Step 3: Cross multiply
    123x = 169.65 × 78.77
  4. Step 4: Simplify right side
    123x = 13,362.48
  5. Step 5: Solve for x
    x = 13,362.48/123
  6. Step 6: Final answer
    x = 108.64

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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.