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Finding the Fourth Proportional to 120,642.44, 180,963.66 and 37,519.88

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Solution

The fourth proportional to 120,642.44, 180,963.66 and 37,519.88 is: 56,279.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,642.44 : 180,963.66 = 37,519.88 : x
  2. Step 2: Convert to fraction form
    120,642.44/180,963.66 = 37,519.88/x
  3. Step 3: Cross multiply
    120,642.44x = 180,963.66 × 37,519.88
  4. Step 4: Simplify right side
    120,642.44x = 6,789,734,807.56
  5. Step 5: Solve for x
    x = 6,789,734,807.56/120,642.44
  6. Step 6: Final answer
    x = 56,279.82

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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.