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Finding the Fourth Proportional to 206,336.85, 309,512.61 and 66,077.25

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Solution

The fourth proportional to 206,336.85, 309,512.61 and 66,077.25 is: 99,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,336.85 : 309,512.61 = 66,077.25 : x
  2. Step 2: Convert to fraction form
    206,336.85/309,512.61 = 66,077.25/x
  3. Step 3: Cross multiply
    206,336.85x = 309,512.61 × 66,077.25
  4. Step 4: Simplify right side
    206,336.85x = 20,451,742,109.12
  5. Step 5: Solve for x
    x = 20,451,742,109.12/206,336.85
  6. Step 6: Final answer
    x = 99,118.22

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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.