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Finding the Fourth Proportional to 141.88, 212.94 and 111.10

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Solution

The fourth proportional to 141.88, 212.94 and 111.10 is: 166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.88 : 212.94 = 111.10 : x
  2. Step 2: Convert to fraction form
    141.88/212.94 = 111.10/x
  3. Step 3: Cross multiply
    141.88x = 212.94 × 111.10
  4. Step 4: Simplify right side
    141.88x = 23,657.63
  5. Step 5: Solve for x
    x = 23,657.63/141.88
  6. Step 6: Final answer
    x = 166.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.