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Finding the Fourth Proportional to 212,957.80, 319,180.70 and 88,234.60

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Solution

The fourth proportional to 212,957.80, 319,180.70 and 88,234.60 is: 132,245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,957.80 : 319,180.70 = 88,234.60 : x
  2. Step 2: Convert to fraction form
    212,957.80/319,180.70 = 88,234.60/x
  3. Step 3: Cross multiply
    212,957.80x = 319,180.70 × 88,234.60
  4. Step 4: Simplify right side
    212,957.80x = 28,162,781,392.22
  5. Step 5: Solve for x
    x = 28,162,781,392.22/212,957.80
  6. Step 6: Final answer
    x = 132,245.83

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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.