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Finding the Fourth Proportional to 76,828, 106,022.64 and 41,500

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Solution

The fourth proportional to 76,828, 106,022.64 and 41,500 is: 57,270

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,828 : 106,022.64 = 41,500 : x
  2. Step 2: Convert to fraction form
    76,828/106,022.64 = 41,500/x
  3. Step 3: Cross multiply
    76,828x = 106,022.64 × 41,500
  4. Step 4: Simplify right side
    76,828x = 4,399,939,560
  5. Step 5: Solve for x
    x = 4,399,939,560/76,828
  6. Step 6: Final answer
    x = 57,270

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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.