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Finding the Fourth Proportional to 202,405.40, 303,365.10 and 84,015.80

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Solution

The fourth proportional to 202,405.40, 303,365.10 and 84,015.80 is: 125,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,405.40 : 303,365.10 = 84,015.80 : x
  2. Step 2: Convert to fraction form
    202,405.40/303,365.10 = 84,015.80/x
  3. Step 3: Cross multiply
    202,405.40x = 303,365.10 × 84,015.80
  4. Step 4: Simplify right side
    202,405.40x = 25,487,461,568.58
  5. Step 5: Solve for x
    x = 25,487,461,568.58/202,405.40
  6. Step 6: Final answer
    x = 125,922.83

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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.