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Finding the Fourth Proportional to 201,200.56, 277,664.28 and 120,641.20

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Solution

The fourth proportional to 201,200.56, 277,664.28 and 120,641.20 is: 166,489.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.56 : 277,664.28 = 120,641.20 : x
  2. Step 2: Convert to fraction form
    201,200.56/277,664.28 = 120,641.20/x
  3. Step 3: Cross multiply
    201,200.56x = 277,664.28 × 120,641.20
  4. Step 4: Simplify right side
    201,200.56x = 33,497,751,936.34
  5. Step 5: Solve for x
    x = 33,497,751,936.34/201,200.56
  6. Step 6: Final answer
    x = 166,489.36

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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.