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Finding the Fourth Proportional to 142.07, 212.36 and 111.67

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Solution

The fourth proportional to 142.07, 212.36 and 111.67 is: 166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.07 : 212.36 = 111.67 : x
  2. Step 2: Convert to fraction form
    142.07/212.36 = 111.67/x
  3. Step 3: Cross multiply
    142.07x = 212.36 × 111.67
  4. Step 4: Simplify right side
    142.07x = 23,713.15
  5. Step 5: Solve for x
    x = 23,713.15/142.07
  6. Step 6: Final answer
    x = 166.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.