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Finding the Fourth Proportional to 188,413.30, 282,656.40 and 55,297.90

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Solution

The fourth proportional to 188,413.30, 282,656.40 and 55,297.90 is: 82,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,413.30 : 282,656.40 = 55,297.90 : x
  2. Step 2: Convert to fraction form
    188,413.30/282,656.40 = 55,297.90/x
  3. Step 3: Cross multiply
    188,413.30x = 282,656.40 × 55,297.90
  4. Step 4: Simplify right side
    188,413.30x = 15,630,305,341.56
  5. Step 5: Solve for x
    x = 15,630,305,341.56/188,413.30
  6. Step 6: Final answer
    x = 82,957.55

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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.