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Finding the Fourth Proportional to 206,189.12, 284,678.02 and 158,357

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Solution

The fourth proportional to 206,189.12, 284,678.02 and 158,357 is: 218,637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,189.12 : 284,678.02 = 158,357 : x
  2. Step 2: Convert to fraction form
    206,189.12/284,678.02 = 158,357/x
  3. Step 3: Cross multiply
    206,189.12x = 284,678.02 × 158,357
  4. Step 4: Simplify right side
    206,189.12x = 45,080,757,213.14
  5. Step 5: Solve for x
    x = 45,080,757,213.14/206,189.12
  6. Step 6: Final answer
    x = 218,637.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.