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Finding the Fourth Proportional to 221,808.70, 332,129.85 and 162,322.30

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Solution

The fourth proportional to 221,808.70, 332,129.85 and 162,322.30 is: 243,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,808.70 : 332,129.85 = 162,322.30 : x
  2. Step 2: Convert to fraction form
    221,808.70/332,129.85 = 162,322.30/x
  3. Step 3: Cross multiply
    221,808.70x = 332,129.85 × 162,322.30
  4. Step 4: Simplify right side
    221,808.70x = 53,912,081,150.66
  5. Step 5: Solve for x
    x = 53,912,081,150.66/221,808.70
  6. Step 6: Final answer
    x = 243,056.66

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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.