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Finding the Fourth Proportional to 12,431,783.20, 18,647,674.80 and 12,431,783.20

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Solution

The fourth proportional to 12,431,783.20, 18,647,674.80 and 12,431,783.20 is: 18,647,674.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431,783.20 : 18,647,674.80 = 12,431,783.20 : x
  2. Step 2: Convert to fraction form
    12,431,783.20/18,647,674.80 = 12,431,783.20/x
  3. Step 3: Cross multiply
    12,431,783.20x = 18,647,674.80 × 12,431,783.20
  4. Step 4: Simplify right side
    12,431,783.20x = 231,823,850,297,703.34
  5. Step 5: Solve for x
    x = 231,823,850,297,703.34/12,431,783.20
  6. Step 6: Final answer
    x = 18,647,674.80

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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.