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Finding the Fourth Proportional to 200,725.20, 300,742.20 and 105,814.80

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Solution

The fourth proportional to 200,725.20, 300,742.20 and 105,814.80 is: 158,540.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,725.20 : 300,742.20 = 105,814.80 : x
  2. Step 2: Convert to fraction form
    200,725.20/300,742.20 = 105,814.80/x
  3. Step 3: Cross multiply
    200,725.20x = 300,742.20 × 105,814.80
  4. Step 4: Simplify right side
    200,725.20x = 31,822,975,744.56
  5. Step 5: Solve for x
    x = 31,822,975,744.56/200,725.20
  6. Step 6: Final answer
    x = 158,540.01

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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.