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Finding the Fourth Proportional to 30,187.96, 41,662 and 16,761.80

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Solution

The fourth proportional to 30,187.96, 41,662 and 16,761.80 is: 23,132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187.96 : 41,662 = 16,761.80 : x
  2. Step 2: Convert to fraction form
    30,187.96/41,662 = 16,761.80/x
  3. Step 3: Cross multiply
    30,187.96x = 41,662 × 16,761.80
  4. Step 4: Simplify right side
    30,187.96x = 698,330,111.60
  5. Step 5: Solve for x
    x = 698,330,111.60/30,187.96
  6. Step 6: Final answer
    x = 23,132.74

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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.