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Finding the Fourth Proportional to 202,198.34, 279,031.78 and 111,555.03

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Solution

The fourth proportional to 202,198.34, 279,031.78 and 111,555.03 is: 153,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198.34 : 279,031.78 = 111,555.03 : x
  2. Step 2: Convert to fraction form
    202,198.34/279,031.78 = 111,555.03/x
  3. Step 3: Cross multiply
    202,198.34x = 279,031.78 × 111,555.03
  4. Step 4: Simplify right side
    202,198.34x = 31,127,398,588.85
  5. Step 5: Solve for x
    x = 31,127,398,588.85/202,198.34
  6. Step 6: Final answer
    x = 153,944.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.