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Finding the Fourth Proportional to 208,090,072.80, 312,040,630.80 and 78,654,664.80

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Solution

The fourth proportional to 208,090,072.80, 312,040,630.80 and 78,654,664.80 is: 117,946,285.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,090,072.80 : 312,040,630.80 = 78,654,664.80 : x
  2. Step 2: Convert to fraction form
    208,090,072.80/312,040,630.80 = 78,654,664.80/x
  3. Step 3: Cross multiply
    208,090,072.80x = 312,040,630.80 × 78,654,664.80
  4. Step 4: Simplify right side
    208,090,072.80x = 24,543,451,219,554,556
  5. Step 5: Solve for x
    x = 24,543,451,219,554,556/208,090,072.80
  6. Step 6: Final answer
    x = 117,946,285.90

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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.