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Finding the Fourth Proportional to 206,322.78, 309,573.26 and 111,619.67

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Solution

The fourth proportional to 206,322.78, 309,573.26 and 111,619.67 is: 167,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,322.78 : 309,573.26 = 111,619.67 : x
  2. Step 2: Convert to fraction form
    206,322.78/309,573.26 = 111,619.67/x
  3. Step 3: Cross multiply
    206,322.78x = 309,573.26 × 111,619.67
  4. Step 4: Simplify right side
    206,322.78x = 34,554,464,563.93
  5. Step 5: Solve for x
    x = 34,554,464,563.93/206,322.78
  6. Step 6: Final answer
    x = 167,477.70

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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.