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Finding the Fourth Proportional to 213,722.29, 321,165.02 and 113,952.97

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Solution

The fourth proportional to 213,722.29, 321,165.02 and 113,952.97 is: 171,239.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,722.29 : 321,165.02 = 113,952.97 : x
  2. Step 2: Convert to fraction form
    213,722.29/321,165.02 = 113,952.97/x
  3. Step 3: Cross multiply
    213,722.29x = 321,165.02 × 113,952.97
  4. Step 4: Simplify right side
    213,722.29x = 36,597,707,889.11
  5. Step 5: Solve for x
    x = 36,597,707,889.11/213,722.29
  6. Step 6: Final answer
    x = 171,239.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.