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Finding the Fourth Proportional to 98,209.78, 135,580.74 and 76,357.60

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Solution

The fourth proportional to 98,209.78, 135,580.74 and 76,357.60 is: 105,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,209.78 : 135,580.74 = 76,357.60 : x
  2. Step 2: Convert to fraction form
    98,209.78/135,580.74 = 76,357.60/x
  3. Step 3: Cross multiply
    98,209.78x = 135,580.74 × 76,357.60
  4. Step 4: Simplify right side
    98,209.78x = 10,352,619,912.62
  5. Step 5: Solve for x
    x = 10,352,619,912.62/98,209.78
  6. Step 6: Final answer
    x = 105,413.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.