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Finding the Fourth Proportional to 80,385.44, 120,506.81 and 30,430.71

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Solution

The fourth proportional to 80,385.44, 120,506.81 and 30,430.71 is: 45,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,385.44 : 120,506.81 = 30,430.71 : x
  2. Step 2: Convert to fraction form
    80,385.44/120,506.81 = 30,430.71/x
  3. Step 3: Cross multiply
    80,385.44x = 120,506.81 × 30,430.71
  4. Step 4: Simplify right side
    80,385.44x = 3,667,107,635.98
  5. Step 5: Solve for x
    x = 3,667,107,635.98/80,385.44
  6. Step 6: Final answer
    x = 45,619.06

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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.