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Finding the Fourth Proportional to 146,631, 202,350.78 and 79,563

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Solution

The fourth proportional to 146,631, 202,350.78 and 79,563 is: 109,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,631 : 202,350.78 = 79,563 : x
  2. Step 2: Convert to fraction form
    146,631/202,350.78 = 79,563/x
  3. Step 3: Cross multiply
    146,631x = 202,350.78 × 79,563
  4. Step 4: Simplify right side
    146,631x = 16,099,635,109.14
  5. Step 5: Solve for x
    x = 16,099,635,109.14/146,631
  6. Step 6: Final answer
    x = 109,796.94

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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.