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Finding the Fourth Proportional to 206,120.85, 308,656.38 and 135,786.93

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Solution

The fourth proportional to 206,120.85, 308,656.38 and 135,786.93 is: 203,334.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,120.85 : 308,656.38 = 135,786.93 : x
  2. Step 2: Convert to fraction form
    206,120.85/308,656.38 = 135,786.93/x
  3. Step 3: Cross multiply
    206,120.85x = 308,656.38 × 135,786.93
  4. Step 4: Simplify right side
    206,120.85x = 41,911,502,774.31
  5. Step 5: Solve for x
    x = 41,911,502,774.31/206,120.85
  6. Step 6: Final answer
    x = 203,334.61

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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.