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Finding the Fourth Proportional to 202,415.80, 303,623.70 and 84,026.20

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Solution

The fourth proportional to 202,415.80, 303,623.70 and 84,026.20 is: 126,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,415.80 : 303,623.70 = 84,026.20 : x
  2. Step 2: Convert to fraction form
    202,415.80/303,623.70 = 84,026.20/x
  3. Step 3: Cross multiply
    202,415.80x = 303,623.70 × 84,026.20
  4. Step 4: Simplify right side
    202,415.80x = 25,512,345,740.94
  5. Step 5: Solve for x
    x = 25,512,345,740.94/202,415.80
  6. Step 6: Final answer
    x = 126,039.30

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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.