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Finding the Fourth Proportional to 200,851.52, 300,966.08 and 126,824

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Solution

The fourth proportional to 200,851.52, 300,966.08 and 126,824 is: 190,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,851.52 : 300,966.08 = 126,824 : x
  2. Step 2: Convert to fraction form
    200,851.52/300,966.08 = 126,824/x
  3. Step 3: Cross multiply
    200,851.52x = 300,966.08 × 126,824
  4. Step 4: Simplify right side
    200,851.52x = 38,169,722,129.92
  5. Step 5: Solve for x
    x = 38,169,722,129.92/200,851.52
  6. Step 6: Final answer
    x = 190,039.50

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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.