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Finding the Fourth Proportional to 223,853.28, 308,917.80 and 123,251.28

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Solution

The fourth proportional to 223,853.28, 308,917.80 and 123,251.28 is: 170,086.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,853.28 : 308,917.80 = 123,251.28 : x
  2. Step 2: Convert to fraction form
    223,853.28/308,917.80 = 123,251.28/x
  3. Step 3: Cross multiply
    223,853.28x = 308,917.80 × 123,251.28
  4. Step 4: Simplify right side
    223,853.28x = 38,074,514,264.78
  5. Step 5: Solve for x
    x = 38,074,514,264.78/223,853.28
  6. Step 6: Final answer
    x = 170,086.92

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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.