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Finding the Fourth Proportional to 221,423.89, 332,188.54 and 71,664.18

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Solution

The fourth proportional to 221,423.89, 332,188.54 and 71,664.18 is: 107,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,423.89 : 332,188.54 = 71,664.18 : x
  2. Step 2: Convert to fraction form
    221,423.89/332,188.54 = 71,664.18/x
  3. Step 3: Cross multiply
    221,423.89x = 332,188.54 × 71,664.18
  4. Step 4: Simplify right side
    221,423.89x = 23,806,019,324.50
  5. Step 5: Solve for x
    x = 23,806,019,324.50/221,423.89
  6. Step 6: Final answer
    x = 107,513.33

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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.