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Finding the Fourth Proportional to 208,005.87, 312,049.26 and 79,912.82

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Solution

The fourth proportional to 208,005.87, 312,049.26 and 79,912.82 is: 119,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,005.87 : 312,049.26 = 79,912.82 : x
  2. Step 2: Convert to fraction form
    208,005.87/312,049.26 = 79,912.82/x
  3. Step 3: Cross multiply
    208,005.87x = 312,049.26 × 79,912.82
  4. Step 4: Simplify right side
    208,005.87x = 24,936,736,345.51
  5. Step 5: Solve for x
    x = 24,936,736,345.51/208,005.87
  6. Step 6: Final answer
    x = 119,884.77

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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.