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Finding the Fourth Proportional to 76,072.56, 104,980.80 and 45,859.44

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Solution

The fourth proportional to 76,072.56, 104,980.80 and 45,859.44 is: 63,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,072.56 : 104,980.80 = 45,859.44 : x
  2. Step 2: Convert to fraction form
    76,072.56/104,980.80 = 45,859.44/x
  3. Step 3: Cross multiply
    76,072.56x = 104,980.80 × 45,859.44
  4. Step 4: Simplify right side
    76,072.56x = 4,814,360,698.75
  5. Step 5: Solve for x
    x = 4,814,360,698.75/76,072.56
  6. Step 6: Final answer
    x = 63,286.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.