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Finding the Fourth Proportional to 206,221.50, 309,380.58 and 64,059.48

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Solution

The fourth proportional to 206,221.50, 309,380.58 and 64,059.48 is: 96,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,221.50 : 309,380.58 = 64,059.48 : x
  2. Step 2: Convert to fraction form
    206,221.50/309,380.58 = 64,059.48/x
  3. Step 3: Cross multiply
    206,221.50x = 309,380.58 × 64,059.48
  4. Step 4: Simplify right side
    206,221.50x = 19,818,759,076.90
  5. Step 5: Solve for x
    x = 19,818,759,076.90/206,221.50
  6. Step 6: Final answer
    x = 96,104.23

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1.5x scale

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.