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Finding the Fourth Proportional to 161,668.28, 223,067.04 and 98,021.72

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Solution

The fourth proportional to 161,668.28, 223,067.04 and 98,021.72 is: 135,248.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,668.28 : 223,067.04 = 98,021.72 : x
  2. Step 2: Convert to fraction form
    161,668.28/223,067.04 = 98,021.72/x
  3. Step 3: Cross multiply
    161,668.28x = 223,067.04 × 98,021.72
  4. Step 4: Simplify right side
    161,668.28x = 21,865,414,936.11
  5. Step 5: Solve for x
    x = 21,865,414,936.11/161,668.28
  6. Step 6: Final answer
    x = 135,248.64

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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.