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Finding the Fourth Proportional to 119,006.99, 178,511.10 and 40,121.90

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Solution

The fourth proportional to 119,006.99, 178,511.10 and 40,121.90 is: 60,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,006.99 : 178,511.10 = 40,121.90 : x
  2. Step 2: Convert to fraction form
    119,006.99/178,511.10 = 40,121.90/x
  3. Step 3: Cross multiply
    119,006.99x = 178,511.10 × 40,121.90
  4. Step 4: Simplify right side
    119,006.99x = 7,162,204,798.91
  5. Step 5: Solve for x
    x = 7,162,204,798.91/119,006.99
  6. Step 6: Final answer
    x = 60,183.06

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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.