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Finding the Fourth Proportional to 117,819.29, 176,662.02 and 80,424.65

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Solution

The fourth proportional to 117,819.29, 176,662.02 and 80,424.65 is: 120,591.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,819.29 : 176,662.02 = 80,424.65 : x
  2. Step 2: Convert to fraction form
    117,819.29/176,662.02 = 80,424.65/x
  3. Step 3: Cross multiply
    117,819.29x = 176,662.02 × 80,424.65
  4. Step 4: Simplify right side
    117,819.29x = 14,207,981,126.79
  5. Step 5: Solve for x
    x = 14,207,981,126.79/117,819.29
  6. Step 6: Final answer
    x = 120,591.30

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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.