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Finding the Fourth Proportional to 217,494.16, 300,121.80 and 121,982.44

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Solution

The fourth proportional to 217,494.16, 300,121.80 and 121,982.44 is: 168,324.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,494.16 : 300,121.80 = 121,982.44 : x
  2. Step 2: Convert to fraction form
    217,494.16/300,121.80 = 121,982.44/x
  3. Step 3: Cross multiply
    217,494.16x = 300,121.80 × 121,982.44
  4. Step 4: Simplify right side
    217,494.16x = 36,609,589,461.19
  5. Step 5: Solve for x
    x = 36,609,589,461.19/217,494.16
  6. Step 6: Final answer
    x = 168,324.47

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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.