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Finding the Fourth Proportional to 49,301.70, 73,912.05 and 21,243.30

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Solution

The fourth proportional to 49,301.70, 73,912.05 and 21,243.30 is: 31,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,301.70 : 73,912.05 = 21,243.30 : x
  2. Step 2: Convert to fraction form
    49,301.70/73,912.05 = 21,243.30/x
  3. Step 3: Cross multiply
    49,301.70x = 73,912.05 × 21,243.30
  4. Step 4: Simplify right side
    49,301.70x = 1,570,135,851.77
  5. Step 5: Solve for x
    x = 1,570,135,851.77/49,301.70
  6. Step 6: Final answer
    x = 31,847.50

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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.