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Finding the Fourth Proportional to 216,272.78, 298,413.14 and 120,764.78

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Solution

The fourth proportional to 216,272.78, 298,413.14 and 120,764.78 is: 166,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,272.78 : 298,413.14 = 120,764.78 : x
  2. Step 2: Convert to fraction form
    216,272.78/298,413.14 = 120,764.78/x
  3. Step 3: Cross multiply
    216,272.78x = 298,413.14 × 120,764.78
  4. Step 4: Simplify right side
    216,272.78x = 36,037,797,201.21
  5. Step 5: Solve for x
    x = 36,037,797,201.21/216,272.78
  6. Step 6: Final answer
    x = 166,631.22

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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.