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Finding the Fourth Proportional to 203,905, 305,857.50 and 56,161

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Solution

The fourth proportional to 203,905, 305,857.50 and 56,161 is: 84,241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,905 : 305,857.50 = 56,161 : x
  2. Step 2: Convert to fraction form
    203,905/305,857.50 = 56,161/x
  3. Step 3: Cross multiply
    203,905x = 305,857.50 × 56,161
  4. Step 4: Simplify right side
    203,905x = 17,177,263,057.50
  5. Step 5: Solve for x
    x = 17,177,263,057.50/203,905
  6. Step 6: Final answer
    x = 84,241.50

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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.