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Finding the Fourth Proportional to 154,340.80, 231,381.60 and 80,468.80

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Solution

The fourth proportional to 154,340.80, 231,381.60 and 80,468.80 is: 120,635.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,340.80 : 231,381.60 = 80,468.80 : x
  2. Step 2: Convert to fraction form
    154,340.80/231,381.60 = 80,468.80/x
  3. Step 3: Cross multiply
    154,340.80x = 231,381.60 × 80,468.80
  4. Step 4: Simplify right side
    154,340.80x = 18,618,999,694.08
  5. Step 5: Solve for x
    x = 18,618,999,694.08/154,340.80
  6. Step 6: Final answer
    x = 120,635.63

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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.