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Finding the Fourth Proportional to 202,986.44, 280,119.21 and 112,342.58

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Solution

The fourth proportional to 202,986.44, 280,119.21 and 112,342.58 is: 155,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,986.44 : 280,119.21 = 112,342.58 : x
  2. Step 2: Convert to fraction form
    202,986.44/280,119.21 = 112,342.58/x
  3. Step 3: Cross multiply
    202,986.44x = 280,119.21 × 112,342.58
  4. Step 4: Simplify right side
    202,986.44x = 31,469,314,758.96
  5. Step 5: Solve for x
    x = 31,469,314,758.96/202,986.44
  6. Step 6: Final answer
    x = 155,031.61

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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.