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Finding the Fourth Proportional to 202,123.80, 303,841.80 and 143,366.40

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Solution

The fourth proportional to 202,123.80, 303,841.80 and 143,366.40 is: 215,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,123.80 : 303,841.80 = 143,366.40 : x
  2. Step 2: Convert to fraction form
    202,123.80/303,841.80 = 143,366.40/x
  3. Step 3: Cross multiply
    202,123.80x = 303,841.80 × 143,366.40
  4. Step 4: Simplify right side
    202,123.80x = 43,560,705,035.52
  5. Step 5: Solve for x
    x = 43,560,705,035.52/202,123.80
  6. Step 6: Final answer
    x = 215,514.97

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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.