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Finding the Fourth Proportional to 201,204,489.60, 301,806,734.40 and 71,816,320.80

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Solution

The fourth proportional to 201,204,489.60, 301,806,734.40 and 71,816,320.80 is: 107,724,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,489.60 : 301,806,734.40 = 71,816,320.80 : x
  2. Step 2: Convert to fraction form
    201,204,489.60/301,806,734.40 = 71,816,320.80/x
  3. Step 3: Cross multiply
    201,204,489.60x = 301,806,734.40 × 71,816,320.80
  4. Step 4: Simplify right side
    201,204,489.60x = 21,674,649,257,270,792
  5. Step 5: Solve for x
    x = 21,674,649,257,270,792/201,204,489.60
  6. Step 6: Final answer
    x = 107,724,481.20

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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.