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Finding the Fourth Proportional to 30,102, 41,540.84 and 16,854

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Solution

The fourth proportional to 30,102, 41,540.84 and 16,854 is: 23,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102 : 41,540.84 = 16,854 : x
  2. Step 2: Convert to fraction form
    30,102/41,540.84 = 16,854/x
  3. Step 3: Cross multiply
    30,102x = 41,540.84 × 16,854
  4. Step 4: Simplify right side
    30,102x = 700,129,317.36
  5. Step 5: Solve for x
    x = 700,129,317.36/30,102
  6. Step 6: Final answer
    x = 23,258.56

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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.