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Finding the Fourth Proportional to 80,119.32, 120,186 and 20,954.76

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Solution

The fourth proportional to 80,119.32, 120,186 and 20,954.76 is: 31,433.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,119.32 : 120,186 = 20,954.76 : x
  2. Step 2: Convert to fraction form
    80,119.32/120,186 = 20,954.76/x
  3. Step 3: Cross multiply
    80,119.32x = 120,186 × 20,954.76
  4. Step 4: Simplify right side
    80,119.32x = 2,518,468,785.36
  5. Step 5: Solve for x
    x = 2,518,468,785.36/80,119.32
  6. Step 6: Final answer
    x = 31,433.98

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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.