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Finding the Fourth Proportional to 206,322.85, 309,573.36 and 111,619.74

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Solution

The fourth proportional to 206,322.85, 309,573.36 and 111,619.74 is: 167,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,322.85 : 309,573.36 = 111,619.74 : x
  2. Step 2: Convert to fraction form
    206,322.85/309,573.36 = 111,619.74/x
  3. Step 3: Cross multiply
    206,322.85x = 309,573.36 × 111,619.74
  4. Step 4: Simplify right side
    206,322.85x = 34,554,499,115.03
  5. Step 5: Solve for x
    x = 34,554,499,115.03/206,322.85
  6. Step 6: Final answer
    x = 167,477.81

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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.