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Finding the Fourth Proportional to 120,182.88, 180,198 and 63,988.32

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Solution

The fourth proportional to 120,182.88, 180,198 and 63,988.32 is: 95,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,182.88 : 180,198 = 63,988.32 : x
  2. Step 2: Convert to fraction form
    120,182.88/180,198 = 63,988.32/x
  3. Step 3: Cross multiply
    120,182.88x = 180,198 × 63,988.32
  4. Step 4: Simplify right side
    120,182.88x = 11,530,567,287.36
  5. Step 5: Solve for x
    x = 11,530,567,287.36/120,182.88
  6. Step 6: Final answer
    x = 95,941.85

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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.