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Finding the Fourth Proportional to 208,006.92, 311,727.64 and 87,964.08

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Solution

The fourth proportional to 208,006.92, 311,727.64 and 87,964.08 is: 131,826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,006.92 : 311,727.64 = 87,964.08 : x
  2. Step 2: Convert to fraction form
    208,006.92/311,727.64 = 87,964.08/x
  3. Step 3: Cross multiply
    208,006.92x = 311,727.64 × 87,964.08
  4. Step 4: Simplify right side
    208,006.92x = 27,420,835,063.17
  5. Step 5: Solve for x
    x = 27,420,835,063.17/208,006.92
  6. Step 6: Final answer
    x = 131,826.55

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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.