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Finding the Fourth Proportional to 200,400.48, 300,393.36 and 75,654

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Solution

The fourth proportional to 200,400.48, 300,393.36 and 75,654 is: 113,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,400.48 : 300,393.36 = 75,654 : x
  2. Step 2: Convert to fraction form
    200,400.48/300,393.36 = 75,654/x
  3. Step 3: Cross multiply
    200,400.48x = 300,393.36 × 75,654
  4. Step 4: Simplify right side
    200,400.48x = 22,725,959,257.44
  5. Step 5: Solve for x
    x = 22,725,959,257.44/200,400.48
  6. Step 6: Final answer
    x = 113,402.72

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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.