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Finding the Fourth Proportional to 166,821.30, 250,231.95 and 156,979.80

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Solution

The fourth proportional to 166,821.30, 250,231.95 and 156,979.80 is: 235,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,821.30 : 250,231.95 = 156,979.80 : x
  2. Step 2: Convert to fraction form
    166,821.30/250,231.95 = 156,979.80/x
  3. Step 3: Cross multiply
    166,821.30x = 250,231.95 × 156,979.80
  4. Step 4: Simplify right side
    166,821.30x = 39,281,361,464.61
  5. Step 5: Solve for x
    x = 39,281,361,464.61/166,821.30
  6. Step 6: Final answer
    x = 235,469.70

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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.