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Finding the Fourth Proportional to 202,311.70, 303,431.10 and 127,297.60

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Solution

The fourth proportional to 202,311.70, 303,431.10 and 127,297.60 is: 190,923.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,311.70 : 303,431.10 = 127,297.60 : x
  2. Step 2: Convert to fraction form
    202,311.70/303,431.10 = 127,297.60/x
  3. Step 3: Cross multiply
    202,311.70x = 303,431.10 × 127,297.60
  4. Step 4: Simplify right side
    202,311.70x = 38,626,050,795.36
  5. Step 5: Solve for x
    x = 38,626,050,795.36/202,311.70
  6. Step 6: Final answer
    x = 190,923.47

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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.