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Finding the Fourth Proportional to 230,394, 317,960.04 and 129,792

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Solution

The fourth proportional to 230,394, 317,960.04 and 129,792 is: 179,122.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,394 : 317,960.04 = 129,792 : x
  2. Step 2: Convert to fraction form
    230,394/317,960.04 = 129,792/x
  3. Step 3: Cross multiply
    230,394x = 317,960.04 × 129,792
  4. Step 4: Simplify right side
    230,394x = 41,268,669,511.68
  5. Step 5: Solve for x
    x = 41,268,669,511.68/230,394
  6. Step 6: Final answer
    x = 179,122.15

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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.