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Finding the Fourth Proportional to 119.96, 165.55 and 78.62

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Solution

The fourth proportional to 119.96, 165.55 and 78.62 is: 108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.96 : 165.55 = 78.62 : x
  2. Step 2: Convert to fraction form
    119.96/165.55 = 78.62/x
  3. Step 3: Cross multiply
    119.96x = 165.55 × 78.62
  4. Step 4: Simplify right side
    119.96x = 13,015.91
  5. Step 5: Solve for x
    x = 13,015.91/119.96
  6. Step 6: Final answer
    x = 108.50

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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.