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Finding the Fourth Proportional to 202,198.20, 279,037.08 and 111,559.20

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Solution

The fourth proportional to 202,198.20, 279,037.08 and 111,559.20 is: 153,953.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,198.20 : 279,037.08 = 111,559.20 : x
  2. Step 2: Convert to fraction form
    202,198.20/279,037.08 = 111,559.20/x
  3. Step 3: Cross multiply
    202,198.20x = 279,037.08 × 111,559.20
  4. Step 4: Simplify right side
    202,198.20x = 31,129,153,415.14
  5. Step 5: Solve for x
    x = 31,129,153,415.14/202,198.20
  6. Step 6: Final answer
    x = 153,953.66

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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.