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Finding the Fourth Proportional to 202,969.52, 280,235.76 and 126,519.20

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Solution

The fourth proportional to 202,969.52, 280,235.76 and 126,519.20 is: 174,682.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,969.52 : 280,235.76 = 126,519.20 : x
  2. Step 2: Convert to fraction form
    202,969.52/280,235.76 = 126,519.20/x
  3. Step 3: Cross multiply
    202,969.52x = 280,235.76 × 126,519.20
  4. Step 4: Simplify right side
    202,969.52x = 35,455,204,166.59
  5. Step 5: Solve for x
    x = 35,455,204,166.59/202,969.52
  6. Step 6: Final answer
    x = 174,682.41

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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.