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Finding the Fourth Proportional to 30,151, 41,608.38 and 16,903

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Solution

The fourth proportional to 30,151, 41,608.38 and 16,903 is: 23,326.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151 : 41,608.38 = 16,903 : x
  2. Step 2: Convert to fraction form
    30,151/41,608.38 = 16,903/x
  3. Step 3: Cross multiply
    30,151x = 41,608.38 × 16,903
  4. Step 4: Simplify right side
    30,151x = 703,306,447.14
  5. Step 5: Solve for x
    x = 703,306,447.14/30,151
  6. Step 6: Final answer
    x = 23,326.14

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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.