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Finding the Fourth Proportional to 123,019.60, 184,413.30 and 66,776.80

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Solution

The fourth proportional to 123,019.60, 184,413.30 and 66,776.80 is: 100,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,019.60 : 184,413.30 = 66,776.80 : x
  2. Step 2: Convert to fraction form
    123,019.60/184,413.30 = 66,776.80/x
  3. Step 3: Cross multiply
    123,019.60x = 184,413.30 × 66,776.80
  4. Step 4: Simplify right side
    123,019.60x = 12,314,530,051.44
  5. Step 5: Solve for x
    x = 12,314,530,051.44/123,019.60
  6. Step 6: Final answer
    x = 100,102.18

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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.