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Finding the Fourth Proportional to 196,340.26, 270,943.50 and 115,772.80

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Solution

The fourth proportional to 196,340.26, 270,943.50 and 115,772.80 is: 159,762.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,340.26 : 270,943.50 = 115,772.80 : x
  2. Step 2: Convert to fraction form
    196,340.26/270,943.50 = 115,772.80/x
  3. Step 3: Cross multiply
    196,340.26x = 270,943.50 × 115,772.80
  4. Step 4: Simplify right side
    196,340.26x = 31,367,887,636.80
  5. Step 5: Solve for x
    x = 31,367,887,636.80/196,340.26
  6. Step 6: Final answer
    x = 159,762.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.