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Finding the Fourth Proportional to 202,002.75, 303,047.87 and 77,343.75

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Solution

The fourth proportional to 202,002.75, 303,047.87 and 77,343.75 is: 116,032.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,002.75 : 303,047.87 = 77,343.75 : x
  2. Step 2: Convert to fraction form
    202,002.75/303,047.87 = 77,343.75/x
  3. Step 3: Cross multiply
    202,002.75x = 303,047.87 × 77,343.75
  4. Step 4: Simplify right side
    202,002.75x = 23,438,858,308.59
  5. Step 5: Solve for x
    x = 23,438,858,308.59/202,002.75
  6. Step 6: Final answer
    x = 116,032.37

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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.