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Finding the Fourth Proportional to 196,413.50, 271,050.63 and 106,989.50

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Solution

The fourth proportional to 196,413.50, 271,050.63 and 106,989.50 is: 147,645.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,413.50 : 271,050.63 = 106,989.50 : x
  2. Step 2: Convert to fraction form
    196,413.50/271,050.63 = 106,989.50/x
  3. Step 3: Cross multiply
    196,413.50x = 271,050.63 × 106,989.50
  4. Step 4: Simplify right side
    196,413.50x = 28,999,571,378.39
  5. Step 5: Solve for x
    x = 28,999,571,378.39/196,413.50
  6. Step 6: Final answer
    x = 147,645.51

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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.