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Finding the Fourth Proportional to 80,506.83, 120,809.39 and 50,883.87

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Solution

The fourth proportional to 80,506.83, 120,809.39 and 50,883.87 is: 76,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,506.83 : 120,809.39 = 50,883.87 : x
  2. Step 2: Convert to fraction form
    80,506.83/120,809.39 = 50,883.87/x
  3. Step 3: Cross multiply
    80,506.83x = 120,809.39 × 50,883.87
  4. Step 4: Simplify right side
    80,506.83x = 6,147,249,041.12
  5. Step 5: Solve for x
    x = 6,147,249,041.12/80,506.83
  6. Step 6: Final answer
    x = 76,356.86

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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.