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Finding the Fourth Proportional to 201,197.56, 277,660.14 and 120,638.20

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Solution

The fourth proportional to 201,197.56, 277,660.14 and 120,638.20 is: 166,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,197.56 : 277,660.14 = 120,638.20 : x
  2. Step 2: Convert to fraction form
    201,197.56/277,660.14 = 120,638.20/x
  3. Step 3: Cross multiply
    201,197.56x = 277,660.14 × 120,638.20
  4. Step 4: Simplify right side
    201,197.56x = 33,496,419,501.35
  5. Step 5: Solve for x
    x = 33,496,419,501.35/201,197.56
  6. Step 6: Final answer
    x = 166,485.22

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1.5x scale

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.