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Finding the Fourth Proportional to 230,396, 317,962.80 and 129,794

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Solution

The fourth proportional to 230,396, 317,962.80 and 129,794 is: 179,124.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,396 : 317,962.80 = 129,794 : x
  2. Step 2: Convert to fraction form
    230,396/317,962.80 = 129,794/x
  3. Step 3: Cross multiply
    230,396x = 317,962.80 × 129,794
  4. Step 4: Simplify right side
    230,396x = 41,269,663,663.20
  5. Step 5: Solve for x
    x = 41,269,663,663.20/230,396
  6. Step 6: Final answer
    x = 179,124.91

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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.