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Finding the Fourth Proportional to 217,754.46, 300,493.36 and 122,265.18

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Solution

The fourth proportional to 217,754.46, 300,493.36 and 122,265.18 is: 168,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,754.46 : 300,493.36 = 122,265.18 : x
  2. Step 2: Convert to fraction form
    217,754.46/300,493.36 = 122,265.18/x
  3. Step 3: Cross multiply
    217,754.46x = 300,493.36 × 122,265.18
  4. Step 4: Simplify right side
    217,754.46x = 36,739,874,749.20
  5. Step 5: Solve for x
    x = 36,739,874,749.20/217,754.46
  6. Step 6: Final answer
    x = 168,721.57

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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.