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Finding the Fourth Proportional to 223,858.28, 308,926.50 and 123,259.88

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Solution

The fourth proportional to 223,858.28, 308,926.50 and 123,259.88 is: 170,099.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,858.28 : 308,926.50 = 123,259.88 : x
  2. Step 2: Convert to fraction form
    223,858.28/308,926.50 = 123,259.88/x
  3. Step 3: Cross multiply
    223,858.28x = 308,926.50 × 123,259.88
  4. Step 4: Simplify right side
    223,858.28x = 38,078,243,318.82
  5. Step 5: Solve for x
    x = 38,078,243,318.82/223,858.28
  6. Step 6: Final answer
    x = 170,099.78

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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.