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Finding the Fourth Proportional to 7,231,163.89, 9,978,978.79 and 3,968,033.22

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Solution

The fourth proportional to 7,231,163.89, 9,978,978.79 and 3,968,033.22 is: 5,475,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231,163.89 : 9,978,978.79 = 3,968,033.22 : x
  2. Step 2: Convert to fraction form
    7,231,163.89/9,978,978.79 = 3,968,033.22/x
  3. Step 3: Cross multiply
    7,231,163.89x = 9,978,978.79 × 3,968,033.22
  4. Step 4: Simplify right side
    7,231,163.89x = 39,596,919,320,555.24
  5. Step 5: Solve for x
    x = 39,596,919,320,555.24/7,231,163.89
  6. Step 6: Final answer
    x = 5,475,870.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.