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Finding the Fourth Proportional to 144,763.29, 199,763.26 and 80,231.90

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Solution

The fourth proportional to 144,763.29, 199,763.26 and 80,231.90 is: 110,714.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,763.29 : 199,763.26 = 80,231.90 : x
  2. Step 2: Convert to fraction form
    144,763.29/199,763.26 = 80,231.90/x
  3. Step 3: Cross multiply
    144,763.29x = 199,763.26 × 80,231.90
  4. Step 4: Simplify right side
    144,763.29x = 16,027,384,700.60
  5. Step 5: Solve for x
    x = 16,027,384,700.60/144,763.29
  6. Step 6: Final answer
    x = 110,714.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.