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Finding the Fourth Proportional to 199,413.90, 299,033.28 and 74,667.42

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Solution

The fourth proportional to 199,413.90, 299,033.28 and 74,667.42 is: 111,968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,413.90 : 299,033.28 = 74,667.42 : x
  2. Step 2: Convert to fraction form
    199,413.90/299,033.28 = 74,667.42/x
  3. Step 3: Cross multiply
    199,413.90x = 299,033.28 × 74,667.42
  4. Step 4: Simplify right side
    199,413.90x = 22,328,043,511.74
  5. Step 5: Solve for x
    x = 22,328,043,511.74/199,413.90
  6. Step 6: Final answer
    x = 111,968.34

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1.5x scale

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.