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Finding the Fourth Proportional to 188,859.20, 283,288.80 and 129,876.80

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Solution

The fourth proportional to 188,859.20, 283,288.80 and 129,876.80 is: 194,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,859.20 : 283,288.80 = 129,876.80 : x
  2. Step 2: Convert to fraction form
    188,859.20/283,288.80 = 129,876.80/x
  3. Step 3: Cross multiply
    188,859.20x = 283,288.80 × 129,876.80
  4. Step 4: Simplify right side
    188,859.20x = 36,792,642,819.84
  5. Step 5: Solve for x
    x = 36,792,642,819.84/188,859.20
  6. Step 6: Final answer
    x = 194,815.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.