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Finding the Fourth Proportional to 206,290.48, 309,451.56 and 87,962.44

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Solution

The fourth proportional to 206,290.48, 309,451.56 and 87,962.44 is: 131,950.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,290.48 : 309,451.56 = 87,962.44 : x
  2. Step 2: Convert to fraction form
    206,290.48/309,451.56 = 87,962.44/x
  3. Step 3: Cross multiply
    206,290.48x = 309,451.56 × 87,962.44
  4. Step 4: Simplify right side
    206,290.48x = 27,220,114,279.41
  5. Step 5: Solve for x
    x = 27,220,114,279.41/206,290.48
  6. Step 6: Final answer
    x = 131,950.41

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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.