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Finding the Fourth Proportional to 76,198, 105,128.94 and 49,361.08

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Solution

The fourth proportional to 76,198, 105,128.94 and 49,361.08 is: 68,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,198 : 105,128.94 = 49,361.08 : x
  2. Step 2: Convert to fraction form
    76,198/105,128.94 = 49,361.08/x
  3. Step 3: Cross multiply
    76,198x = 105,128.94 × 49,361.08
  4. Step 4: Simplify right side
    76,198x = 5,189,278,017.66
  5. Step 5: Solve for x
    x = 5,189,278,017.66/76,198
  6. Step 6: Final answer
    x = 68,102.55

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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.