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Finding the Fourth Proportional to 202,161.20, 302,995.80 and 143,013.92

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Solution

The fourth proportional to 202,161.20, 302,995.80 and 143,013.92 is: 214,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,161.20 : 302,995.80 = 143,013.92 : x
  2. Step 2: Convert to fraction form
    202,161.20/302,995.80 = 143,013.92/x
  3. Step 3: Cross multiply
    202,161.20x = 302,995.80 × 143,013.92
  4. Step 4: Simplify right side
    202,161.20x = 43,332,615,586.56
  5. Step 5: Solve for x
    x = 43,332,615,586.56/202,161.20
  6. Step 6: Final answer
    x = 214,346.85

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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.