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Finding the Fourth Proportional to 120,613.32, 180,950.22 and 105,479.28

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Solution

The fourth proportional to 120,613.32, 180,950.22 and 105,479.28 is: 158,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,613.32 : 180,950.22 = 105,479.28 : x
  2. Step 2: Convert to fraction form
    120,613.32/180,950.22 = 105,479.28/x
  3. Step 3: Cross multiply
    120,613.32x = 180,950.22 × 105,479.28
  4. Step 4: Simplify right side
    120,613.32x = 19,086,498,921.44
  5. Step 5: Solve for x
    x = 19,086,498,921.44/120,613.32
  6. Step 6: Final answer
    x = 158,245.37

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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.