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Finding the Fourth Proportional to 202,461.70, 303,942.15 and 127,581.70

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Solution

The fourth proportional to 202,461.70, 303,942.15 and 127,581.70 is: 191,529.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,461.70 : 303,942.15 = 127,581.70 : x
  2. Step 2: Convert to fraction form
    202,461.70/303,942.15 = 127,581.70/x
  3. Step 3: Cross multiply
    202,461.70x = 303,942.15 × 127,581.70
  4. Step 4: Simplify right side
    202,461.70x = 38,777,456,198.66
  5. Step 5: Solve for x
    x = 38,777,456,198.66/202,461.70
  6. Step 6: Final answer
    x = 191,529.84

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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.