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Finding the Fourth Proportional to 120.09, 165.60 and 78.65

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Solution

The fourth proportional to 120.09, 165.60 and 78.65 is: 108.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.09 : 165.60 = 78.65 : x
  2. Step 2: Convert to fraction form
    120.09/165.60 = 78.65/x
  3. Step 3: Cross multiply
    120.09x = 165.60 × 78.65
  4. Step 4: Simplify right side
    120.09x = 13,024.44
  5. Step 5: Solve for x
    x = 13,024.44/120.09
  6. Step 6: Final answer
    x = 108.46

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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.