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Finding the Fourth Proportional to 80,051.67, 120,077.49 and 30,142.95

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Solution

The fourth proportional to 80,051.67, 120,077.49 and 30,142.95 is: 45,214.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,051.67 : 120,077.49 = 30,142.95 : x
  2. Step 2: Convert to fraction form
    80,051.67/120,077.49 = 30,142.95/x
  3. Step 3: Cross multiply
    80,051.67x = 120,077.49 × 30,142.95
  4. Step 4: Simplify right side
    80,051.67x = 3,619,489,777.20
  5. Step 5: Solve for x
    x = 3,619,489,777.20/80,051.67
  6. Step 6: Final answer
    x = 45,214.42

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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.