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Finding the Fourth Proportional to 66,745.74, 100,063.72 and 31,189.47

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Solution

The fourth proportional to 66,745.74, 100,063.72 and 31,189.47 is: 46,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,745.74 : 100,063.72 = 31,189.47 : x
  2. Step 2: Convert to fraction form
    66,745.74/100,063.72 = 31,189.47/x
  3. Step 3: Cross multiply
    66,745.74x = 100,063.72 × 31,189.47
  4. Step 4: Simplify right side
    66,745.74x = 3,120,934,393.03
  5. Step 5: Solve for x
    x = 3,120,934,393.03/66,745.74
  6. Step 6: Final answer
    x = 46,758.56

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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.