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Finding the Fourth Proportional to 200,539.87, 300,810.48 and 50,780.08

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Solution

The fourth proportional to 200,539.87, 300,810.48 and 50,780.08 is: 76,170.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,539.87 : 300,810.48 = 50,780.08 : x
  2. Step 2: Convert to fraction form
    200,539.87/300,810.48 = 50,780.08/x
  3. Step 3: Cross multiply
    200,539.87x = 300,810.48 × 50,780.08
  4. Step 4: Simplify right side
    200,539.87x = 15,275,180,239.24
  5. Step 5: Solve for x
    x = 15,275,180,239.24/200,539.87
  6. Step 6: Final answer
    x = 76,170.29

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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.