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Finding the Fourth Proportional to 200,612.80, 276,772.44 and 120,042.64

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Solution

The fourth proportional to 200,612.80, 276,772.44 and 120,042.64 is: 165,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,612.80 : 276,772.44 = 120,042.64 : x
  2. Step 2: Convert to fraction form
    200,612.80/276,772.44 = 120,042.64/x
  3. Step 3: Cross multiply
    200,612.80x = 276,772.44 × 120,042.64
  4. Step 4: Simplify right side
    200,612.80x = 33,224,494,376.84
  5. Step 5: Solve for x
    x = 33,224,494,376.84/200,612.80
  6. Step 6: Final answer
    x = 165,615.03

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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.