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Finding the Fourth Proportional to 227,578.20, 341,367.30 and 85,423.20

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Solution

The fourth proportional to 227,578.20, 341,367.30 and 85,423.20 is: 128,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,578.20 : 341,367.30 = 85,423.20 : x
  2. Step 2: Convert to fraction form
    227,578.20/341,367.30 = 85,423.20/x
  3. Step 3: Cross multiply
    227,578.20x = 341,367.30 × 85,423.20
  4. Step 4: Simplify right side
    227,578.20x = 29,160,687,141.36
  5. Step 5: Solve for x
    x = 29,160,687,141.36/227,578.20
  6. Step 6: Final answer
    x = 128,134.80

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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.