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Finding the Fourth Proportional to 80,649.33, 120,975.13 and 30,732.16

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Solution

The fourth proportional to 80,649.33, 120,975.13 and 30,732.16 is: 46,098.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,649.33 : 120,975.13 = 30,732.16 : x
  2. Step 2: Convert to fraction form
    80,649.33/120,975.13 = 30,732.16/x
  3. Step 3: Cross multiply
    80,649.33x = 120,975.13 × 30,732.16
  4. Step 4: Simplify right side
    80,649.33x = 3,717,826,446.31
  5. Step 5: Solve for x
    x = 3,717,826,446.31/80,649.33
  6. Step 6: Final answer
    x = 46,098.67

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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.