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Finding the Fourth Proportional to 66,782.40, 100,230.30 and 27,367.80

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Solution

The fourth proportional to 66,782.40, 100,230.30 and 27,367.80 is: 41,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,782.40 : 100,230.30 = 27,367.80 : x
  2. Step 2: Convert to fraction form
    66,782.40/100,230.30 = 27,367.80/x
  3. Step 3: Cross multiply
    66,782.40x = 100,230.30 × 27,367.80
  4. Step 4: Simplify right side
    66,782.40x = 2,743,082,804.34
  5. Step 5: Solve for x
    x = 2,743,082,804.34/66,782.40
  6. Step 6: Final answer
    x = 41,074.94

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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.