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Finding the Fourth Proportional to 205,716.47, 283,764.60 and 135,866.20

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Solution

The fourth proportional to 205,716.47, 283,764.60 and 135,866.20 is: 187,413.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,716.47 : 283,764.60 = 135,866.20 : x
  2. Step 2: Convert to fraction form
    205,716.47/283,764.60 = 135,866.20/x
  3. Step 3: Cross multiply
    205,716.47x = 283,764.60 × 135,866.20
  4. Step 4: Simplify right side
    205,716.47x = 38,554,016,677.61
  5. Step 5: Solve for x
    x = 38,554,016,677.61/205,716.47
  6. Step 6: Final answer
    x = 187,413.37

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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.