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Finding the Fourth Proportional to 135,806.40, 203,709.60 and 98,942.40

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Solution

The fourth proportional to 135,806.40, 203,709.60 and 98,942.40 is: 148,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,806.40 : 203,709.60 = 98,942.40 : x
  2. Step 2: Convert to fraction form
    135,806.40/203,709.60 = 98,942.40/x
  3. Step 3: Cross multiply
    135,806.40x = 203,709.60 × 98,942.40
  4. Step 4: Simplify right side
    135,806.40x = 20,155,516,727.04
  5. Step 5: Solve for x
    x = 20,155,516,727.04/135,806.40
  6. Step 6: Final answer
    x = 148,413.60

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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.