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Finding the Fourth Proportional to 66,413.88, 99,644.50 and 33,131

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Solution

The fourth proportional to 66,413.88, 99,644.50 and 33,131 is: 49,708.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,413.88 : 99,644.50 = 33,131 : x
  2. Step 2: Convert to fraction form
    66,413.88/99,644.50 = 33,131/x
  3. Step 3: Cross multiply
    66,413.88x = 99,644.50 × 33,131
  4. Step 4: Simplify right side
    66,413.88x = 3,301,321,929.50
  5. Step 5: Solve for x
    x = 3,301,321,929.50/66,413.88
  6. Step 6: Final answer
    x = 49,708.31

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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.