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Finding the Fourth Proportional to 203,965.30, 306,057.30 and 85,648.60

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Solution

The fourth proportional to 203,965.30, 306,057.30 and 85,648.60 is: 128,518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,965.30 : 306,057.30 = 85,648.60 : x
  2. Step 2: Convert to fraction form
    203,965.30/306,057.30 = 85,648.60/x
  3. Step 3: Cross multiply
    203,965.30x = 306,057.30 × 85,648.60
  4. Step 4: Simplify right side
    203,965.30x = 26,213,379,264.78
  5. Step 5: Solve for x
    x = 26,213,379,264.78/203,965.30
  6. Step 6: Final answer
    x = 128,518.82

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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.