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Finding the Fourth Proportional to 202,388.75, 303,597.71 and 77,729.75

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Solution

The fourth proportional to 202,388.75, 303,597.71 and 77,729.75 is: 116,600.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,388.75 : 303,597.71 = 77,729.75 : x
  2. Step 2: Convert to fraction form
    202,388.75/303,597.71 = 77,729.75/x
  3. Step 3: Cross multiply
    202,388.75x = 303,597.71 × 77,729.75
  4. Step 4: Simplify right side
    202,388.75x = 23,598,574,098.87
  5. Step 5: Solve for x
    x = 23,598,574,098.87/202,388.75
  6. Step 6: Final answer
    x = 116,600.23

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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.