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Finding the Fourth Proportional to 141.24, 194.78 and 106.35

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Solution

The fourth proportional to 141.24, 194.78 and 106.35 is: 146.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.24 : 194.78 = 106.35 : x
  2. Step 2: Convert to fraction form
    141.24/194.78 = 106.35/x
  3. Step 3: Cross multiply
    141.24x = 194.78 × 106.35
  4. Step 4: Simplify right side
    141.24x = 20,715.12
  5. Step 5: Solve for x
    x = 20,715.12/141.24
  6. Step 6: Final answer
    x = 146.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.