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Finding the Fourth Proportional to 203,677.12, 305,475.04 and 68,728

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Solution

The fourth proportional to 203,677.12, 305,475.04 and 68,728 is: 103,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,677.12 : 305,475.04 = 68,728 : x
  2. Step 2: Convert to fraction form
    203,677.12/305,475.04 = 68,728/x
  3. Step 3: Cross multiply
    203,677.12x = 305,475.04 × 68,728
  4. Step 4: Simplify right side
    203,677.12x = 20,994,688,549.12
  5. Step 5: Solve for x
    x = 20,994,688,549.12/203,677.12
  6. Step 6: Final answer
    x = 103,078.29

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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.