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Finding the Fourth Proportional to 196,144, 270,683.04 and 106,720

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Solution

The fourth proportional to 196,144, 270,683.04 and 106,720 is: 147,275.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,144 : 270,683.04 = 106,720 : x
  2. Step 2: Convert to fraction form
    196,144/270,683.04 = 106,720/x
  3. Step 3: Cross multiply
    196,144x = 270,683.04 × 106,720
  4. Step 4: Simplify right side
    196,144x = 28,887,294,028.80
  5. Step 5: Solve for x
    x = 28,887,294,028.80/196,144
  6. Step 6: Final answer
    x = 147,275.95

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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.