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Finding the Fourth Proportional to 259,676.73, 389,217.42 and 119,140.11

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Solution

The fourth proportional to 259,676.73, 389,217.42 and 119,140.11 is: 178,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,676.73 : 389,217.42 = 119,140.11 : x
  2. Step 2: Convert to fraction form
    259,676.73/389,217.42 = 119,140.11/x
  3. Step 3: Cross multiply
    259,676.73x = 389,217.42 × 119,140.11
  4. Step 4: Simplify right side
    259,676.73x = 46,371,406,232.72
  5. Step 5: Solve for x
    x = 46,371,406,232.72/259,676.73
  6. Step 6: Final answer
    x = 178,573.59

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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.