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Finding the Fourth Proportional to 223,903.20, 308,939.76 and 138,969.84

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Solution

The fourth proportional to 223,903.20, 308,939.76 and 138,969.84 is: 191,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,903.20 : 308,939.76 = 138,969.84 : x
  2. Step 2: Convert to fraction form
    223,903.20/308,939.76 = 138,969.84/x
  3. Step 3: Cross multiply
    223,903.20x = 308,939.76 × 138,969.84
  4. Step 4: Simplify right side
    223,903.20x = 42,933,309,016.84
  5. Step 5: Solve for x
    x = 42,933,309,016.84/223,903.20
  6. Step 6: Final answer
    x = 191,749.42

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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.