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Finding the Fourth Proportional to 208,773.38, 288,181.98 and 123,890.44

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Solution

The fourth proportional to 208,773.38, 288,181.98 and 123,890.44 is: 171,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,773.38 : 288,181.98 = 123,890.44 : x
  2. Step 2: Convert to fraction form
    208,773.38/288,181.98 = 123,890.44/x
  3. Step 3: Cross multiply
    208,773.38x = 288,181.98 × 123,890.44
  4. Step 4: Simplify right side
    208,773.38x = 35,702,992,302.27
  5. Step 5: Solve for x
    x = 35,702,992,302.27/208,773.38
  6. Step 6: Final answer
    x = 171,013.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.