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Finding the Fourth Proportional to 80,509.76, 120,764.70 and 27,919.28

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Solution

The fourth proportional to 80,509.76, 120,764.70 and 27,919.28 is: 41,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,509.76 : 120,764.70 = 27,919.28 : x
  2. Step 2: Convert to fraction form
    80,509.76/120,764.70 = 27,919.28/x
  3. Step 3: Cross multiply
    80,509.76x = 120,764.70 × 27,919.28
  4. Step 4: Simplify right side
    80,509.76x = 3,371,663,473.42
  5. Step 5: Solve for x
    x = 3,371,663,473.42/80,509.76
  6. Step 6: Final answer
    x = 41,878.94

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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.