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Finding the Fourth Proportional to 119.59, 164.97 and 78.10

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Solution

The fourth proportional to 119.59, 164.97 and 78.10 is: 107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.59 : 164.97 = 78.10 : x
  2. Step 2: Convert to fraction form
    119.59/164.97 = 78.10/x
  3. Step 3: Cross multiply
    119.59x = 164.97 × 78.10
  4. Step 4: Simplify right side
    119.59x = 12,884.16
  5. Step 5: Solve for x
    x = 12,884.16/119.59
  6. Step 6: Final answer
    x = 107.74

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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.