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Finding the Fourth Proportional to 50,816, 76,228.32 and 13,880

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Solution

The fourth proportional to 50,816, 76,228.32 and 13,880 is: 20,821.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,816 : 76,228.32 = 13,880 : x
  2. Step 2: Convert to fraction form
    50,816/76,228.32 = 13,880/x
  3. Step 3: Cross multiply
    50,816x = 76,228.32 × 13,880
  4. Step 4: Simplify right side
    50,816x = 1,058,049,081.60
  5. Step 5: Solve for x
    x = 1,058,049,081.60/50,816
  6. Step 6: Final answer
    x = 20,821.18

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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.