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Finding the Fourth Proportional to 201,692.70, 302,603.85 and 135,207.90

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Solution

The fourth proportional to 201,692.70, 302,603.85 and 135,207.90 is: 202,855.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,692.70 : 302,603.85 = 135,207.90 : x
  2. Step 2: Convert to fraction form
    201,692.70/302,603.85 = 135,207.90/x
  3. Step 3: Cross multiply
    201,692.70x = 302,603.85 × 135,207.90
  4. Step 4: Simplify right side
    201,692.70x = 40,914,431,090.42
  5. Step 5: Solve for x
    x = 40,914,431,090.42/201,692.70
  6. Step 6: Final answer
    x = 202,855.29

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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.