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Finding the Fourth Proportional to 80,230.20, 120,345.30 and 57,679.80

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Solution

The fourth proportional to 80,230.20, 120,345.30 and 57,679.80 is: 86,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,230.20 : 120,345.30 = 57,679.80 : x
  2. Step 2: Convert to fraction form
    80,230.20/120,345.30 = 57,679.80/x
  3. Step 3: Cross multiply
    80,230.20x = 120,345.30 × 57,679.80
  4. Step 4: Simplify right side
    80,230.20x = 6,941,492,834.94
  5. Step 5: Solve for x
    x = 6,941,492,834.94/80,230.20
  6. Step 6: Final answer
    x = 86,519.70

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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.