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Finding the Fourth Proportional to 204,779.82, 307,148.96 and 55,000.64

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Solution

The fourth proportional to 204,779.82, 307,148.96 and 55,000.64 is: 82,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,779.82 : 307,148.96 = 55,000.64 : x
  2. Step 2: Convert to fraction form
    204,779.82/307,148.96 = 55,000.64/x
  3. Step 3: Cross multiply
    204,779.82x = 307,148.96 × 55,000.64
  4. Step 4: Simplify right side
    204,779.82x = 16,893,389,375.33
  5. Step 5: Solve for x
    x = 16,893,389,375.33/204,779.82
  6. Step 6: Final answer
    x = 82,495.38

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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.