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Finding the Fourth Proportional to 201,512.97, 278,077.73 and 120,924.45

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Solution

The fourth proportional to 201,512.97, 278,077.73 and 120,924.45 is: 166,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,512.97 : 278,077.73 = 120,924.45 : x
  2. Step 2: Convert to fraction form
    201,512.97/278,077.73 = 120,924.45/x
  3. Step 3: Cross multiply
    201,512.97x = 278,077.73 × 120,924.45
  4. Step 4: Simplify right side
    201,512.97x = 33,626,395,952.88
  5. Step 5: Solve for x
    x = 33,626,395,952.88/201,512.97
  6. Step 6: Final answer
    x = 166,869.64

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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.