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Finding the Fourth Proportional to 12,649,668, 18,978,049.44 and 5,081,948.16

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Solution

The fourth proportional to 12,649,668, 18,978,049.44 and 5,081,948.16 is: 7,624,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649,668 : 18,978,049.44 = 5,081,948.16 : x
  2. Step 2: Convert to fraction form
    12,649,668/18,978,049.44 = 5,081,948.16/x
  3. Step 3: Cross multiply
    12,649,668x = 18,978,049.44 × 5,081,948.16
  4. Step 4: Simplify right side
    12,649,668x = 96,445,463,431,997.05
  5. Step 5: Solve for x
    x = 96,445,463,431,997.05/12,649,668
  6. Step 6: Final answer
    x = 7,624,347.41

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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.