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Finding the Fourth Proportional to 47,641.20, 71,413.20 and 27,909.60

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Solution

The fourth proportional to 47,641.20, 71,413.20 and 27,909.60 is: 41,835.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,641.20 : 71,413.20 = 27,909.60 : x
  2. Step 2: Convert to fraction form
    47,641.20/71,413.20 = 27,909.60/x
  3. Step 3: Cross multiply
    47,641.20x = 71,413.20 × 27,909.60
  4. Step 4: Simplify right side
    47,641.20x = 1,993,113,846.72
  5. Step 5: Solve for x
    x = 1,993,113,846.72/47,641.20
  6. Step 6: Final answer
    x = 41,835.93

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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.