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Finding the Fourth Proportional to 80,473.28, 120,720.84 and 27,886.86

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Solution

The fourth proportional to 80,473.28, 120,720.84 and 27,886.86 is: 41,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,473.28 : 120,720.84 = 27,886.86 : x
  2. Step 2: Convert to fraction form
    80,473.28/120,720.84 = 27,886.86/x
  3. Step 3: Cross multiply
    80,473.28x = 120,720.84 × 27,886.86
  4. Step 4: Simplify right side
    80,473.28x = 3,366,525,164.16
  5. Step 5: Solve for x
    x = 3,366,525,164.16/80,473.28
  6. Step 6: Final answer
    x = 41,834.07

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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.