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Finding the Fourth Proportional to 146,714, 202,467.72 and 79,646

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Solution

The fourth proportional to 146,714, 202,467.72 and 79,646 is: 109,912.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,714 : 202,467.72 = 79,646 : x
  2. Step 2: Convert to fraction form
    146,714/202,467.72 = 79,646/x
  3. Step 3: Cross multiply
    146,714x = 202,467.72 × 79,646
  4. Step 4: Simplify right side
    146,714x = 16,125,744,027.12
  5. Step 5: Solve for x
    x = 16,125,744,027.12/146,714
  6. Step 6: Final answer
    x = 109,912.78

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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.