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Finding the Fourth Proportional to 100,413.75, 138,566.38 and 55,090.80

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Solution

The fourth proportional to 100,413.75, 138,566.38 and 55,090.80 is: 76,022.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,413.75 : 138,566.38 = 55,090.80 : x
  2. Step 2: Convert to fraction form
    100,413.75/138,566.38 = 55,090.80/x
  3. Step 3: Cross multiply
    100,413.75x = 138,566.38 × 55,090.80
  4. Step 4: Simplify right side
    100,413.75x = 7,633,732,340.71
  5. Step 5: Solve for x
    x = 7,633,732,340.71/100,413.75
  6. Step 6: Final answer
    x = 76,022.78

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Why These Related Problems?

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