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Finding the Fourth Proportional to 202,139.20, 303,208.80 and 179,588.80

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Solution

The fourth proportional to 202,139.20, 303,208.80 and 179,588.80 is: 269,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,139.20 : 303,208.80 = 179,588.80 : x
  2. Step 2: Convert to fraction form
    202,139.20/303,208.80 = 179,588.80/x
  3. Step 3: Cross multiply
    202,139.20x = 303,208.80 × 179,588.80
  4. Step 4: Simplify right side
    202,139.20x = 54,452,904,541.44
  5. Step 5: Solve for x
    x = 54,452,904,541.44/202,139.20
  6. Step 6: Final answer
    x = 269,383.20

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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.