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Finding the Fourth Proportional to 194,488.71, 291,847.86 and 82,161.65

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Solution

The fourth proportional to 194,488.71, 291,847.86 and 82,161.65 is: 123,290.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,488.71 : 291,847.86 = 82,161.65 : x
  2. Step 2: Convert to fraction form
    194,488.71/291,847.86 = 82,161.65/x
  3. Step 3: Cross multiply
    194,488.71x = 291,847.86 × 82,161.65
  4. Step 4: Simplify right side
    194,488.71x = 23,978,700,267.33
  5. Step 5: Solve for x
    x = 23,978,700,267.33/194,488.71
  6. Step 6: Final answer
    x = 123,290.96

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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.