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Finding the Fourth Proportional to 206,174.60, 284,658 and 158,342.48

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Solution

The fourth proportional to 206,174.60, 284,658 and 158,342.48 is: 218,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,174.60 : 284,658 = 158,342.48 : x
  2. Step 2: Convert to fraction form
    206,174.60/284,658 = 158,342.48/x
  3. Step 3: Cross multiply
    206,174.60x = 284,658 × 158,342.48
  4. Step 4: Simplify right side
    206,174.60x = 45,073,453,671.84
  5. Step 5: Solve for x
    x = 45,073,453,671.84/206,174.60
  6. Step 6: Final answer
    x = 218,617.88

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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.