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Finding the Fourth Proportional to 98,413.80, 147,231.90 and 85,410.60

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Solution

The fourth proportional to 98,413.80, 147,231.90 and 85,410.60 is: 127,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.80 : 147,231.90 = 85,410.60 : x
  2. Step 2: Convert to fraction form
    98,413.80/147,231.90 = 85,410.60/x
  3. Step 3: Cross multiply
    98,413.80x = 147,231.90 × 85,410.60
  4. Step 4: Simplify right side
    98,413.80x = 12,575,164,918.14
  5. Step 5: Solve for x
    x = 12,575,164,918.14/98,413.80
  6. Step 6: Final answer
    x = 127,778.47

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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.