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Finding the Fourth Proportional to 223,978, 309,096.12 and 123,382.48

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Solution

The fourth proportional to 223,978, 309,096.12 and 123,382.48 is: 170,271.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,978 : 309,096.12 = 123,382.48 : x
  2. Step 2: Convert to fraction form
    223,978/309,096.12 = 123,382.48/x
  3. Step 3: Cross multiply
    223,978x = 309,096.12 × 123,382.48
  4. Step 4: Simplify right side
    223,978x = 38,137,045,843.98
  5. Step 5: Solve for x
    x = 38,137,045,843.98/223,978
  6. Step 6: Final answer
    x = 170,271.39

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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.