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Finding the Fourth Proportional to 206,120.17, 308,655.34 and 135,786.25

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Solution

The fourth proportional to 206,120.17, 308,655.34 and 135,786.25 is: 203,333.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,120.17 : 308,655.34 = 135,786.25 : x
  2. Step 2: Convert to fraction form
    206,120.17/308,655.34 = 135,786.25/x
  3. Step 3: Cross multiply
    206,120.17x = 308,655.34 × 135,786.25
  4. Step 4: Simplify right side
    206,120.17x = 41,911,151,161.08
  5. Step 5: Solve for x
    x = 41,911,151,161.08/206,120.17
  6. Step 6: Final answer
    x = 203,333.58

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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.