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Finding the Fourth Proportional to 209,986.70, 315,308.10 and 121,413.20

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Solution

The fourth proportional to 209,986.70, 315,308.10 and 121,413.20 is: 182,309.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,986.70 : 315,308.10 = 121,413.20 : x
  2. Step 2: Convert to fraction form
    209,986.70/315,308.10 = 121,413.20/x
  3. Step 3: Cross multiply
    209,986.70x = 315,308.10 × 121,413.20
  4. Step 4: Simplify right side
    209,986.70x = 38,282,565,406.92
  5. Step 5: Solve for x
    x = 38,282,565,406.92/209,986.70
  6. Step 6: Final answer
    x = 182,309.48

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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.