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Finding the Fourth Proportional to 219,234.30, 328,742.10 and 100,771.80

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Solution

The fourth proportional to 219,234.30, 328,742.10 and 100,771.80 is: 151,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,234.30 : 328,742.10 = 100,771.80 : x
  2. Step 2: Convert to fraction form
    219,234.30/328,742.10 = 100,771.80/x
  3. Step 3: Cross multiply
    219,234.30x = 328,742.10 × 100,771.80
  4. Step 4: Simplify right side
    219,234.30x = 33,127,933,152.78
  5. Step 5: Solve for x
    x = 33,127,933,152.78/219,234.30
  6. Step 6: Final answer
    x = 151,107.44

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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.