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Finding the Fourth Proportional to 104,171, 156,282.96 and 30,299

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Solution

The fourth proportional to 104,171, 156,282.96 and 30,299 is: 45,456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,171 : 156,282.96 = 30,299 : x
  2. Step 2: Convert to fraction form
    104,171/156,282.96 = 30,299/x
  3. Step 3: Cross multiply
    104,171x = 156,282.96 × 30,299
  4. Step 4: Simplify right side
    104,171x = 4,735,217,405.04
  5. Step 5: Solve for x
    x = 4,735,217,405.04/104,171
  6. Step 6: Final answer
    x = 45,456.20

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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.