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Finding the Fourth Proportional to 50,783.36, 76,183.88 and 21,222

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Solution

The fourth proportional to 50,783.36, 76,183.88 and 21,222 is: 31,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,783.36 : 76,183.88 = 21,222 : x
  2. Step 2: Convert to fraction form
    50,783.36/76,183.88 = 21,222/x
  3. Step 3: Cross multiply
    50,783.36x = 76,183.88 × 21,222
  4. Step 4: Simplify right side
    50,783.36x = 1,616,774,195.25
  5. Step 5: Solve for x
    x = 1,616,774,195.25/50,783.36
  6. Step 6: Final answer
    x = 31,836.70

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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.