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Finding the Fourth Proportional to 200,006.54, 300,010.10 and 81,677.88

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Solution

The fourth proportional to 200,006.54, 300,010.10 and 81,677.88 is: 122,516.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,006.54 : 300,010.10 = 81,677.88 : x
  2. Step 2: Convert to fraction form
    200,006.54/300,010.10 = 81,677.88/x
  3. Step 3: Cross multiply
    200,006.54x = 300,010.10 × 81,677.88
  4. Step 4: Simplify right side
    200,006.54x = 24,504,187,413.16
  5. Step 5: Solve for x
    x = 24,504,187,413.16/200,006.54
  6. Step 6: Final answer
    x = 122,516.93

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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.