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Finding the Fourth Proportional to 203,539.82, 305,310.51 and 85,128.10

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Solution

The fourth proportional to 203,539.82, 305,310.51 and 85,128.10 is: 127,692.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,539.82 : 305,310.51 = 85,128.10 : x
  2. Step 2: Convert to fraction form
    203,539.82/305,310.51 = 85,128.10/x
  3. Step 3: Cross multiply
    203,539.82x = 305,310.51 × 85,128.10
  4. Step 4: Simplify right side
    203,539.82x = 25,990,502,863.05
  5. Step 5: Solve for x
    x = 25,990,502,863.05/203,539.82
  6. Step 6: Final answer
    x = 127,692.48

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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.