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Finding the Fourth Proportional to 120.00, 165.67 and 78.54

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Solution

The fourth proportional to 120.00, 165.67 and 78.54 is: 108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.00 : 165.67 = 78.54 : x
  2. Step 2: Convert to fraction form
    120.00/165.67 = 78.54/x
  3. Step 3: Cross multiply
    120.00x = 165.67 × 78.54
  4. Step 4: Simplify right side
    120.00x = 13,011.13
  5. Step 5: Solve for x
    x = 13,011.13/120.00
  6. Step 6: Final answer
    x = 108.43

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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.