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Finding the Fourth Proportional to 196,314.55, 270,915.38 and 111,433.03

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Solution

The fourth proportional to 196,314.55, 270,915.38 and 111,433.03 is: 153,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,314.55 : 270,915.38 = 111,433.03 : x
  2. Step 2: Convert to fraction form
    196,314.55/270,915.38 = 111,433.03/x
  3. Step 3: Cross multiply
    196,314.55x = 270,915.38 × 111,433.03
  4. Step 4: Simplify right side
    196,314.55x = 30,188,921,667.00
  5. Step 5: Solve for x
    x = 30,188,921,667.00/196,314.55
  6. Step 6: Final answer
    x = 153,778.32

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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.