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Finding the Fourth Proportional to 76,682.50, 105,824.18 and 41,759.45

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Solution

The fourth proportional to 76,682.50, 105,824.18 and 41,759.45 is: 57,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682.50 : 105,824.18 = 41,759.45 : x
  2. Step 2: Convert to fraction form
    76,682.50/105,824.18 = 41,759.45/x
  3. Step 3: Cross multiply
    76,682.50x = 105,824.18 × 41,759.45
  4. Step 4: Simplify right side
    76,682.50x = 4,419,159,128.78
  5. Step 5: Solve for x
    x = 4,419,159,128.78/76,682.50
  6. Step 6: Final answer
    x = 57,629.31

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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.