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Finding the Fourth Proportional to 80,005.28, 120,009.74 and 27,414

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Solution

The fourth proportional to 80,005.28, 120,009.74 and 27,414 is: 41,121.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,005.28 : 120,009.74 = 27,414 : x
  2. Step 2: Convert to fraction form
    80,005.28/120,009.74 = 27,414/x
  3. Step 3: Cross multiply
    80,005.28x = 120,009.74 × 27,414
  4. Step 4: Simplify right side
    80,005.28x = 3,289,946,875.29
  5. Step 5: Solve for x
    x = 3,289,946,875.29/80,005.28
  6. Step 6: Final answer
    x = 41,121.62

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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.