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Finding the Fourth Proportional to 104,016, 156,049.92 and 30,144

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Solution

The fourth proportional to 104,016, 156,049.92 and 30,144 is: 45,223.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,016 : 156,049.92 = 30,144 : x
  2. Step 2: Convert to fraction form
    104,016/156,049.92 = 30,144/x
  3. Step 3: Cross multiply
    104,016x = 156,049.92 × 30,144
  4. Step 4: Simplify right side
    104,016x = 4,703,968,788.48
  5. Step 5: Solve for x
    x = 4,703,968,788.48/104,016
  6. Step 6: Final answer
    x = 45,223.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.