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Finding the Fourth Proportional to 196,468, 294,702 and 71,809

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Solution

The fourth proportional to 196,468, 294,702 and 71,809 is: 107,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,468 : 294,702 = 71,809 : x
  2. Step 2: Convert to fraction form
    196,468/294,702 = 71,809/x
  3. Step 3: Cross multiply
    196,468x = 294,702 × 71,809
  4. Step 4: Simplify right side
    196,468x = 21,162,255,918
  5. Step 5: Solve for x
    x = 21,162,255,918/196,468
  6. Step 6: Final answer
    x = 107,713.50

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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.