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Finding the Fourth Proportional to 80,428.14, 120,642.21 and 27,808.92

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Solution

The fourth proportional to 80,428.14, 120,642.21 and 27,808.92 is: 41,713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,428.14 : 120,642.21 = 27,808.92 : x
  2. Step 2: Convert to fraction form
    80,428.14/120,642.21 = 27,808.92/x
  3. Step 3: Cross multiply
    80,428.14x = 120,642.21 × 27,808.92
  4. Step 4: Simplify right side
    80,428.14x = 3,354,929,566.51
  5. Step 5: Solve for x
    x = 3,354,929,566.51/80,428.14
  6. Step 6: Final answer
    x = 41,713.38

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1.5x scale

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.