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Finding the Fourth Proportional to 208,153.74, 311,950.89 and 108,105.78

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Solution

The fourth proportional to 208,153.74, 311,950.89 and 108,105.78 is: 162,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,153.74 : 311,950.89 = 108,105.78 : x
  2. Step 2: Convert to fraction form
    208,153.74/311,950.89 = 108,105.78/x
  3. Step 3: Cross multiply
    208,153.74x = 311,950.89 × 108,105.78
  4. Step 4: Simplify right side
    208,153.74x = 33,723,694,285.14
  5. Step 5: Solve for x
    x = 33,723,694,285.14/208,153.74
  6. Step 6: Final answer
    x = 162,013.40

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1.5x scale

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.