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Finding the Fourth Proportional to 188,943.80, 283,722.90 and 136,719.80

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Solution

The fourth proportional to 188,943.80, 283,722.90 and 136,719.80 is: 205,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,943.80 : 283,722.90 = 136,719.80 : x
  2. Step 2: Convert to fraction form
    188,943.80/283,722.90 = 136,719.80/x
  3. Step 3: Cross multiply
    188,943.80x = 283,722.90 × 136,719.80
  4. Step 4: Simplify right side
    188,943.80x = 38,790,538,143.42
  5. Step 5: Solve for x
    x = 38,790,538,143.42/188,943.80
  6. Step 6: Final answer
    x = 205,301.99

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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.