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Finding the Fourth Proportional to 80,429.14, 120,643.71 and 27,809.92

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Solution

The fourth proportional to 80,429.14, 120,643.71 and 27,809.92 is: 41,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,429.14 : 120,643.71 = 27,809.92 : x
  2. Step 2: Convert to fraction form
    80,429.14/120,643.71 = 27,809.92/x
  3. Step 3: Cross multiply
    80,429.14x = 120,643.71 × 27,809.92
  4. Step 4: Simplify right side
    80,429.14x = 3,355,091,923.60
  5. Step 5: Solve for x
    x = 3,355,091,923.60/80,429.14
  6. Step 6: Final answer
    x = 41,714.88

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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.