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Finding the Fourth Proportional to 216,974.80, 325,413.60 and 142,616.80

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Solution

The fourth proportional to 216,974.80, 325,413.60 and 142,616.80 is: 213,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,974.80 : 325,413.60 = 142,616.80 : x
  2. Step 2: Convert to fraction form
    216,974.80/325,413.60 = 142,616.80/x
  3. Step 3: Cross multiply
    216,974.80x = 325,413.60 × 142,616.80
  4. Step 4: Simplify right side
    216,974.80x = 46,409,446,308.48
  5. Step 5: Solve for x
    x = 46,409,446,308.48/216,974.80
  6. Step 6: Final answer
    x = 213,893.26

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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.