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Finding the Fourth Proportional to 223,765.31, 308,796.14 and 123,163.31

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Solution

The fourth proportional to 223,765.31, 308,796.14 and 123,163.31 is: 169,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,765.31 : 308,796.14 = 123,163.31 : x
  2. Step 2: Convert to fraction form
    223,765.31/308,796.14 = 123,163.31/x
  3. Step 3: Cross multiply
    223,765.31x = 308,796.14 × 123,163.31
  4. Step 4: Simplify right side
    223,765.31x = 38,032,355,797.52
  5. Step 5: Solve for x
    x = 38,032,355,797.52/223,765.31
  6. Step 6: Final answer
    x = 169,965.38

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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.