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Finding the Fourth Proportional to 49,907, 68,871.78 and 27,551

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Solution

The fourth proportional to 49,907, 68,871.78 and 27,551 is: 38,020.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,907 : 68,871.78 = 27,551 : x
  2. Step 2: Convert to fraction form
    49,907/68,871.78 = 27,551/x
  3. Step 3: Cross multiply
    49,907x = 68,871.78 × 27,551
  4. Step 4: Simplify right side
    49,907x = 1,897,486,410.78
  5. Step 5: Solve for x
    x = 1,897,486,410.78/49,907
  6. Step 6: Final answer
    x = 38,020.45

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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.