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Finding the Fourth Proportional to 111.90, 167.86 and 39.78

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Solution

The fourth proportional to 111.90, 167.86 and 39.78 is: 59.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.90 : 167.86 = 39.78 : x
  2. Step 2: Convert to fraction form
    111.90/167.86 = 39.78/x
  3. Step 3: Cross multiply
    111.90x = 167.86 × 39.78
  4. Step 4: Simplify right side
    111.90x = 6,677.47
  5. Step 5: Solve for x
    x = 6,677.47/111.90
  6. Step 6: Final answer
    x = 59.67

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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.