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Finding the Fourth Proportional to 202,280.40, 303,177.60 and 83,890.80

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Solution

The fourth proportional to 202,280.40, 303,177.60 and 83,890.80 is: 125,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,280.40 : 303,177.60 = 83,890.80 : x
  2. Step 2: Convert to fraction form
    202,280.40/303,177.60 = 83,890.80/x
  3. Step 3: Cross multiply
    202,280.40x = 303,177.60 × 83,890.80
  4. Step 4: Simplify right side
    202,280.40x = 25,433,811,406.08
  5. Step 5: Solve for x
    x = 25,433,811,406.08/202,280.40
  6. Step 6: Final answer
    x = 125,735.42

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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.