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Finding the Fourth Proportional to 80,308.94, 120,464.62 and 30,412.53

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Solution

The fourth proportional to 80,308.94, 120,464.62 and 30,412.53 is: 45,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,308.94 : 120,464.62 = 30,412.53 : x
  2. Step 2: Convert to fraction form
    80,308.94/120,464.62 = 30,412.53/x
  3. Step 3: Cross multiply
    80,308.94x = 120,464.62 × 30,412.53
  4. Step 4: Simplify right side
    80,308.94x = 3,663,633,793.66
  5. Step 5: Solve for x
    x = 3,663,633,793.66/80,308.94
  6. Step 6: Final answer
    x = 45,619.26

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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.