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Finding the Fourth Proportional to 230,395, 317,961.42 and 129,793

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Solution

The fourth proportional to 230,395, 317,961.42 and 129,793 is: 179,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,395 : 317,961.42 = 129,793 : x
  2. Step 2: Convert to fraction form
    230,395/317,961.42 = 129,793/x
  3. Step 3: Cross multiply
    230,395x = 317,961.42 × 129,793
  4. Step 4: Simplify right side
    230,395x = 41,269,166,586.06
  5. Step 5: Solve for x
    x = 41,269,166,586.06/230,395
  6. Step 6: Final answer
    x = 179,123.53

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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.