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Finding the Fourth Proportional to 219,308.12, 328,982.78 and 61,535.88

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Solution

The fourth proportional to 219,308.12, 328,982.78 and 61,535.88 is: 92,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,308.12 : 328,982.78 = 61,535.88 : x
  2. Step 2: Convert to fraction form
    219,308.12/328,982.78 = 61,535.88/x
  3. Step 3: Cross multiply
    219,308.12x = 328,982.78 × 61,535.88
  4. Step 4: Simplify right side
    219,308.12x = 20,244,244,872.15
  5. Step 5: Solve for x
    x = 20,244,244,872.15/219,308.12
  6. Step 6: Final answer
    x = 92,309.60

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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.