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Finding the Fourth Proportional to 69,912.89, 104,827.85 and 27,770.31

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Solution

The fourth proportional to 69,912.89, 104,827.85 and 27,770.31 is: 41,638.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,912.89 : 104,827.85 = 27,770.31 : x
  2. Step 2: Convert to fraction form
    69,912.89/104,827.85 = 27,770.31/x
  3. Step 3: Cross multiply
    69,912.89x = 104,827.85 × 27,770.31
  4. Step 4: Simplify right side
    69,912.89x = 2,911,101,228.14
  5. Step 5: Solve for x
    x = 2,911,101,228.14/69,912.89
  6. Step 6: Final answer
    x = 41,638.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.