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Finding the Fourth Proportional to 217,853.20, 326,536.80 and 84,689.20

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Solution

The fourth proportional to 217,853.20, 326,536.80 and 84,689.20 is: 126,939.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,853.20 : 326,536.80 = 84,689.20 : x
  2. Step 2: Convert to fraction form
    217,853.20/326,536.80 = 84,689.20/x
  3. Step 3: Cross multiply
    217,853.20x = 326,536.80 × 84,689.20
  4. Step 4: Simplify right side
    217,853.20x = 27,654,140,362.56
  5. Step 5: Solve for x
    x = 27,654,140,362.56/217,853.20
  6. Step 6: Final answer
    x = 126,939.34

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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.