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Finding the Fourth Proportional to 82,181.80, 123,289.45 and 37,181.54

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Solution

The fourth proportional to 82,181.80, 123,289.45 and 37,181.54 is: 55,779.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,181.80 : 123,289.45 = 37,181.54 : x
  2. Step 2: Convert to fraction form
    82,181.80/123,289.45 = 37,181.54/x
  3. Step 3: Cross multiply
    82,181.80x = 123,289.45 × 37,181.54
  4. Step 4: Simplify right side
    82,181.80x = 4,584,091,430.85
  5. Step 5: Solve for x
    x = 4,584,091,430.85/82,181.80
  6. Step 6: Final answer
    x = 55,779.89

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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.