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Finding the Fourth Proportional to 200,218.88, 300,416.32 and 75,530.72

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Solution

The fourth proportional to 200,218.88, 300,416.32 and 75,530.72 is: 113,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,218.88 : 300,416.32 = 75,530.72 : x
  2. Step 2: Convert to fraction form
    200,218.88/300,416.32 = 75,530.72/x
  3. Step 3: Cross multiply
    200,218.88x = 300,416.32 × 75,530.72
  4. Step 4: Simplify right side
    200,218.88x = 22,690,660,949.35
  5. Step 5: Solve for x
    x = 22,690,660,949.35/200,218.88
  6. Step 6: Final answer
    x = 113,329.28

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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.