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Finding the Fourth Proportional to 104,186, 156,304.92 and 30,314

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Solution

The fourth proportional to 104,186, 156,304.92 and 30,314 is: 45,478.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,186 : 156,304.92 = 30,314 : x
  2. Step 2: Convert to fraction form
    104,186/156,304.92 = 30,314/x
  3. Step 3: Cross multiply
    104,186x = 156,304.92 × 30,314
  4. Step 4: Simplify right side
    104,186x = 4,738,227,344.88
  5. Step 5: Solve for x
    x = 4,738,227,344.88/104,186
  6. Step 6: Final answer
    x = 45,478.54

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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.