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Finding the Fourth Proportional to 202,621.96, 303,907.02 and 77,998.60

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Solution

The fourth proportional to 202,621.96, 303,907.02 and 77,998.60 is: 116,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,621.96 : 303,907.02 = 77,998.60 : x
  2. Step 2: Convert to fraction form
    202,621.96/303,907.02 = 77,998.60/x
  3. Step 3: Cross multiply
    202,621.96x = 303,907.02 × 77,998.60
  4. Step 4: Simplify right side
    202,621.96x = 23,704,322,090.17
  5. Step 5: Solve for x
    x = 23,704,322,090.17/202,621.96
  6. Step 6: Final answer
    x = 116,987.92

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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.