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Finding the Fourth Proportional to 80,406.32, 120,651 and 36,063.92

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Solution

The fourth proportional to 80,406.32, 120,651 and 36,063.92 is: 54,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,406.32 : 120,651 = 36,063.92 : x
  2. Step 2: Convert to fraction form
    80,406.32/120,651 = 36,063.92/x
  3. Step 3: Cross multiply
    80,406.32x = 120,651 × 36,063.92
  4. Step 4: Simplify right side
    80,406.32x = 4,351,148,011.92
  5. Step 5: Solve for x
    x = 4,351,148,011.92/80,406.32
  6. Step 6: Final answer
    x = 54,114.50

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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.