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Finding the Fourth Proportional to 285,413.20, 427,812.60 and 107,851.60

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Solution

The fourth proportional to 285,413.20, 427,812.60 and 107,851.60 is: 161,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,413.20 : 427,812.60 = 107,851.60 : x
  2. Step 2: Convert to fraction form
    285,413.20/427,812.60 = 107,851.60/x
  3. Step 3: Cross multiply
    285,413.20x = 427,812.60 × 107,851.60
  4. Step 4: Simplify right side
    285,413.20x = 46,140,273,410.16
  5. Step 5: Solve for x
    x = 46,140,273,410.16/285,413.20
  6. Step 6: Final answer
    x = 161,661.32

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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.