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Finding the Fourth Proportional to 196,353.72, 270,975.78 and 111,478.68

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Solution

The fourth proportional to 196,353.72, 270,975.78 and 111,478.68 is: 153,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,353.72 : 270,975.78 = 111,478.68 : x
  2. Step 2: Convert to fraction form
    196,353.72/270,975.78 = 111,478.68/x
  3. Step 3: Cross multiply
    196,353.72x = 270,975.78 × 111,478.68
  4. Step 4: Simplify right side
    196,353.72x = 30,208,022,266.37
  5. Step 5: Solve for x
    x = 30,208,022,266.37/196,353.72
  6. Step 6: Final answer
    x = 153,844.92

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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.