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Finding the Fourth Proportional to 30,188.55, 41,661.57 and 16,760

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Solution

The fourth proportional to 30,188.55, 41,661.57 and 16,760 is: 23,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,188.55 : 41,661.57 = 16,760 : x
  2. Step 2: Convert to fraction form
    30,188.55/41,661.57 = 16,760/x
  3. Step 3: Cross multiply
    30,188.55x = 41,661.57 × 16,760
  4. Step 4: Simplify right side
    30,188.55x = 698,247,913.20
  5. Step 5: Solve for x
    x = 698,247,913.20/30,188.55
  6. Step 6: Final answer
    x = 23,129.56

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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.