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Finding the Fourth Proportional to 68,090.65, 102,245.33 and 51,469.45

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Solution

The fourth proportional to 68,090.65, 102,245.33 and 51,469.45 is: 77,286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,090.65 : 102,245.33 = 51,469.45 : x
  2. Step 2: Convert to fraction form
    68,090.65/102,245.33 = 51,469.45/x
  3. Step 3: Cross multiply
    68,090.65x = 102,245.33 × 51,469.45
  4. Step 4: Simplify right side
    68,090.65x = 5,262,510,642.82
  5. Step 5: Solve for x
    x = 5,262,510,642.82/68,090.65
  6. Step 6: Final answer
    x = 77,286.83

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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.