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Finding the Fourth Proportional to 120,092.00, 179,999.31 and 45,164.31

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Solution

The fourth proportional to 120,092.00, 179,999.31 and 45,164.31 is: 67,694.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,092.00 : 179,999.31 = 45,164.31 : x
  2. Step 2: Convert to fraction form
    120,092.00/179,999.31 = 45,164.31/x
  3. Step 3: Cross multiply
    120,092.00x = 179,999.31 × 45,164.31
  4. Step 4: Simplify right side
    120,092.00x = 8,129,544,636.63
  5. Step 5: Solve for x
    x = 8,129,544,636.63/120,092.00
  6. Step 6: Final answer
    x = 67,694.31

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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.