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Finding the Fourth Proportional to 216,413.26, 298,651.80 and 120,923.98

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Solution

The fourth proportional to 216,413.26, 298,651.80 and 120,923.98 is: 166,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,413.26 : 298,651.80 = 120,923.98 : x
  2. Step 2: Convert to fraction form
    216,413.26/298,651.80 = 120,923.98/x
  3. Step 3: Cross multiply
    216,413.26x = 298,651.80 × 120,923.98
  4. Step 4: Simplify right side
    216,413.26x = 36,114,164,290.16
  5. Step 5: Solve for x
    x = 36,114,164,290.16/216,413.26
  6. Step 6: Final answer
    x = 166,875.93

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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.