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Finding the Fourth Proportional to 202,505.40, 303,758.10 and 139,519.80

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Solution

The fourth proportional to 202,505.40, 303,758.10 and 139,519.80 is: 209,279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,505.40 : 303,758.10 = 139,519.80 : x
  2. Step 2: Convert to fraction form
    202,505.40/303,758.10 = 139,519.80/x
  3. Step 3: Cross multiply
    202,505.40x = 303,758.10 × 139,519.80
  4. Step 4: Simplify right side
    202,505.40x = 42,380,269,360.38
  5. Step 5: Solve for x
    x = 42,380,269,360.38/202,505.40
  6. Step 6: Final answer
    x = 209,279.70

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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.