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Finding the Fourth Proportional to 160,881.92, 221,942.40 and 100,413.44

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Solution

The fourth proportional to 160,881.92, 221,942.40 and 100,413.44 is: 138,523.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,881.92 : 221,942.40 = 100,413.44 : x
  2. Step 2: Convert to fraction form
    160,881.92/221,942.40 = 100,413.44/x
  3. Step 3: Cross multiply
    160,881.92x = 221,942.40 × 100,413.44
  4. Step 4: Simplify right side
    160,881.92x = 22,285,999,865.86
  5. Step 5: Solve for x
    x = 22,285,999,865.86/160,881.92
  6. Step 6: Final answer
    x = 138,523.96

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1.5x scale

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.