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Finding the Fourth Proportional to 144,436.60, 216,782.90 and 85,198.20

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Solution

The fourth proportional to 144,436.60, 216,782.90 and 85,198.20 is: 127,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,436.60 : 216,782.90 = 85,198.20 : x
  2. Step 2: Convert to fraction form
    144,436.60/216,782.90 = 85,198.20/x
  3. Step 3: Cross multiply
    144,436.60x = 216,782.90 × 85,198.20
  4. Step 4: Simplify right side
    144,436.60x = 18,469,512,870.78
  5. Step 5: Solve for x
    x = 18,469,512,870.78/144,436.60
  6. Step 6: Final answer
    x = 127,872.80

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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.