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Finding the Fourth Proportional to 50,640.40, 75,964.92 and 13,205.44

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Solution

The fourth proportional to 50,640.40, 75,964.92 and 13,205.44 is: 19,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,640.40 : 75,964.92 = 13,205.44 : x
  2. Step 2: Convert to fraction form
    50,640.40/75,964.92 = 13,205.44/x
  3. Step 3: Cross multiply
    50,640.40x = 75,964.92 × 13,205.44
  4. Step 4: Simplify right side
    50,640.40x = 1,003,150,193.16
  5. Step 5: Solve for x
    x = 1,003,150,193.16/50,640.40
  6. Step 6: Final answer
    x = 19,809.29

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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.