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Finding the Fourth Proportional to 206,188.12, 284,676.64 and 158,356

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Solution

The fourth proportional to 206,188.12, 284,676.64 and 158,356 is: 218,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,188.12 : 284,676.64 = 158,356 : x
  2. Step 2: Convert to fraction form
    206,188.12/284,676.64 = 158,356/x
  3. Step 3: Cross multiply
    206,188.12x = 284,676.64 × 158,356
  4. Step 4: Simplify right side
    206,188.12x = 45,080,254,003.84
  5. Step 5: Solve for x
    x = 45,080,254,003.84/206,188.12
  6. Step 6: Final answer
    x = 218,636.52

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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.