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Finding the Fourth Proportional to 146,395, 202,025.10 and 79,327

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Solution

The fourth proportional to 146,395, 202,025.10 and 79,327 is: 109,471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,395 : 202,025.10 = 79,327 : x
  2. Step 2: Convert to fraction form
    146,395/202,025.10 = 79,327/x
  3. Step 3: Cross multiply
    146,395x = 202,025.10 × 79,327
  4. Step 4: Simplify right side
    146,395x = 16,026,045,107.70
  5. Step 5: Solve for x
    x = 16,026,045,107.70/146,395
  6. Step 6: Final answer
    x = 109,471.26

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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.