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Finding the Fourth Proportional to 66,761.76, 100,168 and 31,243.20

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Solution

The fourth proportional to 66,761.76, 100,168 and 31,243.20 is: 46,876.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,761.76 : 100,168 = 31,243.20 : x
  2. Step 2: Convert to fraction form
    66,761.76/100,168 = 31,243.20/x
  3. Step 3: Cross multiply
    66,761.76x = 100,168 × 31,243.20
  4. Step 4: Simplify right side
    66,761.76x = 3,129,568,857.60
  5. Step 5: Solve for x
    x = 3,129,568,857.60/66,761.76
  6. Step 6: Final answer
    x = 46,876.67

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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.