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Finding the Fourth Proportional to 120,090.88, 179,939.52 and 84,858.40

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Solution

The fourth proportional to 120,090.88, 179,939.52 and 84,858.40 is: 127,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,090.88 : 179,939.52 = 84,858.40 : x
  2. Step 2: Convert to fraction form
    120,090.88/179,939.52 = 84,858.40/x
  3. Step 3: Cross multiply
    120,090.88x = 179,939.52 × 84,858.40
  4. Step 4: Simplify right side
    120,090.88x = 15,269,379,763.97
  5. Step 5: Solve for x
    x = 15,269,379,763.97/120,090.88
  6. Step 6: Final answer
    x = 127,148.54

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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.