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Finding the Fourth Proportional to 201,383.80, 302,075.70 and 135,028.60

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Solution

The fourth proportional to 201,383.80, 302,075.70 and 135,028.60 is: 202,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,383.80 : 302,075.70 = 135,028.60 : x
  2. Step 2: Convert to fraction form
    201,383.80/302,075.70 = 135,028.60/x
  3. Step 3: Cross multiply
    201,383.80x = 302,075.70 × 135,028.60
  4. Step 4: Simplify right side
    201,383.80x = 40,788,858,865.02
  5. Step 5: Solve for x
    x = 40,788,858,865.02/201,383.80
  6. Step 6: Final answer
    x = 202,542.90

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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.