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Finding the Fourth Proportional to 221,171.50, 331,757.25 and 73,427.50

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Solution

The fourth proportional to 221,171.50, 331,757.25 and 73,427.50 is: 110,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,171.50 : 331,757.25 = 73,427.50 : x
  2. Step 2: Convert to fraction form
    221,171.50/331,757.25 = 73,427.50/x
  3. Step 3: Cross multiply
    221,171.50x = 331,757.25 × 73,427.50
  4. Step 4: Simplify right side
    221,171.50x = 24,360,105,474.38
  5. Step 5: Solve for x
    x = 24,360,105,474.38/221,171.50
  6. Step 6: Final answer
    x = 110,141.25

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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.