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Finding the Fourth Proportional to 66,843.90, 100,069.02 and 49,391.64

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Solution

The fourth proportional to 66,843.90, 100,069.02 and 49,391.64 is: 73,942.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,843.90 : 100,069.02 = 49,391.64 : x
  2. Step 2: Convert to fraction form
    66,843.90/100,069.02 = 49,391.64/x
  3. Step 3: Cross multiply
    66,843.90x = 100,069.02 × 49,391.64
  4. Step 4: Simplify right side
    66,843.90x = 4,942,573,010.99
  5. Step 5: Solve for x
    x = 4,942,573,010.99/66,843.90
  6. Step 6: Final answer
    x = 73,942.02

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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.