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Finding the Fourth Proportional to 104,825.78, 156,999.13 and 82,285.15

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Solution

The fourth proportional to 104,825.78, 156,999.13 and 82,285.15 is: 123,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,825.78 : 156,999.13 = 82,285.15 : x
  2. Step 2: Convert to fraction form
    104,825.78/156,999.13 = 82,285.15/x
  3. Step 3: Cross multiply
    104,825.78x = 156,999.13 × 82,285.15
  4. Step 4: Simplify right side
    104,825.78x = 12,918,696,961.92
  5. Step 5: Solve for x
    x = 12,918,696,961.92/104,825.78
  6. Step 6: Final answer
    x = 123,239.69

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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.