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Finding the Fourth Proportional to 196,728, 295,092 and 65,400

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Solution

The fourth proportional to 196,728, 295,092 and 65,400 is: 98,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,728 : 295,092 = 65,400 : x
  2. Step 2: Convert to fraction form
    196,728/295,092 = 65,400/x
  3. Step 3: Cross multiply
    196,728x = 295,092 × 65,400
  4. Step 4: Simplify right side
    196,728x = 19,299,016,800
  5. Step 5: Solve for x
    x = 19,299,016,800/196,728
  6. Step 6: Final answer
    x = 98,100

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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.