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Finding the Fourth Proportional to 221,796.70, 332,111.85 and 162,310.30

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Solution

The fourth proportional to 221,796.70, 332,111.85 and 162,310.30 is: 243,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,796.70 : 332,111.85 = 162,310.30 : x
  2. Step 2: Convert to fraction form
    221,796.70/332,111.85 = 162,310.30/x
  3. Step 3: Cross multiply
    221,796.70x = 332,111.85 × 162,310.30
  4. Step 4: Simplify right side
    221,796.70x = 53,905,174,007.06
  5. Step 5: Solve for x
    x = 53,905,174,007.06/221,796.70
  6. Step 6: Final answer
    x = 243,038.67

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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.