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Finding the Fourth Proportional to 80,510.82, 120,732.45 and 30,563.38

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Solution

The fourth proportional to 80,510.82, 120,732.45 and 30,563.38 is: 45,832.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,510.82 : 120,732.45 = 30,563.38 : x
  2. Step 2: Convert to fraction form
    80,510.82/120,732.45 = 30,563.38/x
  3. Step 3: Cross multiply
    80,510.82x = 120,732.45 × 30,563.38
  4. Step 4: Simplify right side
    80,510.82x = 3,689,991,747.68
  5. Step 5: Solve for x
    x = 3,689,991,747.68/80,510.82
  6. Step 6: Final answer
    x = 45,832.25

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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.