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Finding the Fourth Proportional to 196,405.92, 294,643.44 and 71,920.80

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Solution

The fourth proportional to 196,405.92, 294,643.44 and 71,920.80 is: 107,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,405.92 : 294,643.44 = 71,920.80 : x
  2. Step 2: Convert to fraction form
    196,405.92/294,643.44 = 71,920.80/x
  3. Step 3: Cross multiply
    196,405.92x = 294,643.44 × 71,920.80
  4. Step 4: Simplify right side
    196,405.92x = 21,190,991,919.55
  5. Step 5: Solve for x
    x = 21,190,991,919.55/196,405.92
  6. Step 6: Final answer
    x = 107,893.86

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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.