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Finding the Fourth Proportional to 221,899.50, 332,409.42 and 103,407.84

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Solution

The fourth proportional to 221,899.50, 332,409.42 and 103,407.84 is: 154,906.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,899.50 : 332,409.42 = 103,407.84 : x
  2. Step 2: Convert to fraction form
    221,899.50/332,409.42 = 103,407.84/x
  3. Step 3: Cross multiply
    221,899.50x = 332,409.42 × 103,407.84
  4. Step 4: Simplify right side
    221,899.50x = 34,373,740,117.85
  5. Step 5: Solve for x
    x = 34,373,740,117.85/221,899.50
  6. Step 6: Final answer
    x = 154,906.79

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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.