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Finding the Fourth Proportional to 202,420.95, 303,613.78 and 82,490.48

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Solution

The fourth proportional to 202,420.95, 303,613.78 and 82,490.48 is: 123,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,420.95 : 303,613.78 = 82,490.48 : x
  2. Step 2: Convert to fraction form
    202,420.95/303,613.78 = 82,490.48/x
  3. Step 3: Cross multiply
    202,420.95x = 303,613.78 × 82,490.48
  4. Step 4: Simplify right side
    202,420.95x = 25,045,245,977.48
  5. Step 5: Solve for x
    x = 25,045,245,977.48/202,420.95
  6. Step 6: Final answer
    x = 123,728.53

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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.