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Finding the Fourth Proportional to 30,234.67, 41,720.67 and 16,803.75

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Solution

The fourth proportional to 30,234.67, 41,720.67 and 16,803.75 is: 23,187.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.67 : 41,720.67 = 16,803.75 : x
  2. Step 2: Convert to fraction form
    30,234.67/41,720.67 = 16,803.75/x
  3. Step 3: Cross multiply
    30,234.67x = 41,720.67 × 16,803.75
  4. Step 4: Simplify right side
    30,234.67x = 701,063,864.97
  5. Step 5: Solve for x
    x = 701,063,864.97/30,234.67
  6. Step 6: Final answer
    x = 23,187.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.