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Finding the Fourth Proportional to 80,120.81, 120,011.69 and 51,957.20

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Solution

The fourth proportional to 80,120.81, 120,011.69 and 51,957.20 is: 77,825.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,120.81 : 120,011.69 = 51,957.20 : x
  2. Step 2: Convert to fraction form
    80,120.81/120,011.69 = 51,957.20/x
  3. Step 3: Cross multiply
    80,120.81x = 120,011.69 × 51,957.20
  4. Step 4: Simplify right side
    80,120.81x = 6,235,471,809.59
  5. Step 5: Solve for x
    x = 6,235,471,809.59/80,120.81
  6. Step 6: Final answer
    x = 77,825.87

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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.