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Finding the Fourth Proportional to 66,978.48, 100,396.44 and 31,843.92

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Solution

The fourth proportional to 66,978.48, 100,396.44 and 31,843.92 is: 47,731.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978.48 : 100,396.44 = 31,843.92 : x
  2. Step 2: Convert to fraction form
    66,978.48/100,396.44 = 31,843.92/x
  3. Step 3: Cross multiply
    66,978.48x = 100,396.44 × 31,843.92
  4. Step 4: Simplify right side
    66,978.48x = 3,197,016,203.64
  5. Step 5: Solve for x
    x = 3,197,016,203.64/66,978.48
  6. Step 6: Final answer
    x = 47,731.99

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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.