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Finding the Fourth Proportional to 206,375.90, 309,512.58 and 116,458.09

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Solution

The fourth proportional to 206,375.90, 309,512.58 and 116,458.09 is: 174,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,375.90 : 309,512.58 = 116,458.09 : x
  2. Step 2: Convert to fraction form
    206,375.90/309,512.58 = 116,458.09/x
  3. Step 3: Cross multiply
    206,375.90x = 309,512.58 × 116,458.09
  4. Step 4: Simplify right side
    206,375.90x = 36,045,243,897.77
  5. Step 5: Solve for x
    x = 36,045,243,897.77/206,375.90
  6. Step 6: Final answer
    x = 174,658.20

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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.