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Finding the Fourth Proportional to 119.39, 164.76 and 78.01

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Solution

The fourth proportional to 119.39, 164.76 and 78.01 is: 107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.39 : 164.76 = 78.01 : x
  2. Step 2: Convert to fraction form
    119.39/164.76 = 78.01/x
  3. Step 3: Cross multiply
    119.39x = 164.76 × 78.01
  4. Step 4: Simplify right side
    119.39x = 12,853.37
  5. Step 5: Solve for x
    x = 12,853.37/119.39
  6. Step 6: Final answer
    x = 107.66

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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.