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Finding the Fourth Proportional to 76,840, 106,039.20 and 41,512

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Solution

The fourth proportional to 76,840, 106,039.20 and 41,512 is: 57,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,840 : 106,039.20 = 41,512 : x
  2. Step 2: Convert to fraction form
    76,840/106,039.20 = 41,512/x
  3. Step 3: Cross multiply
    76,840x = 106,039.20 × 41,512
  4. Step 4: Simplify right side
    76,840x = 4,401,899,270.40
  5. Step 5: Solve for x
    x = 4,401,899,270.40/76,840
  6. Step 6: Final answer
    x = 57,286.56

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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.