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Finding the Fourth Proportional to 213,213.78, 319,821.84 and 88,554.78

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Solution

The fourth proportional to 213,213.78, 319,821.84 and 88,554.78 is: 132,832.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,213.78 : 319,821.84 = 88,554.78 : x
  2. Step 2: Convert to fraction form
    213,213.78/319,821.84 = 88,554.78/x
  3. Step 3: Cross multiply
    213,213.78x = 319,821.84 × 88,554.78
  4. Step 4: Simplify right side
    213,213.78x = 28,321,752,680.40
  5. Step 5: Solve for x
    x = 28,321,752,680.40/213,213.78
  6. Step 6: Final answer
    x = 132,832.66

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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.