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Finding the Fourth Proportional to 205,396.40, 283,295.40 and 129,872

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Solution

The fourth proportional to 205,396.40, 283,295.40 and 129,872 is: 179,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,396.40 : 283,295.40 = 129,872 : x
  2. Step 2: Convert to fraction form
    205,396.40/283,295.40 = 129,872/x
  3. Step 3: Cross multiply
    205,396.40x = 283,295.40 × 129,872
  4. Step 4: Simplify right side
    205,396.40x = 36,792,140,188.80
  5. Step 5: Solve for x
    x = 36,792,140,188.80/205,396.40
  6. Step 6: Final answer
    x = 179,127.48

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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.