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Finding the Fourth Proportional to 220,845, 331,267.50 and 54,633

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Solution

The fourth proportional to 220,845, 331,267.50 and 54,633 is: 81,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845 : 331,267.50 = 54,633 : x
  2. Step 2: Convert to fraction form
    220,845/331,267.50 = 54,633/x
  3. Step 3: Cross multiply
    220,845x = 331,267.50 × 54,633
  4. Step 4: Simplify right side
    220,845x = 18,098,137,327.50
  5. Step 5: Solve for x
    x = 18,098,137,327.50/220,845
  6. Step 6: Final answer
    x = 81,949.50

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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.