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Finding the Fourth Proportional to 206,599.70, 309,899.55 and 173,138.60

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Solution

The fourth proportional to 206,599.70, 309,899.55 and 173,138.60 is: 259,707.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,599.70 : 309,899.55 = 173,138.60 : x
  2. Step 2: Convert to fraction form
    206,599.70/309,899.55 = 173,138.60/x
  3. Step 3: Cross multiply
    206,599.70x = 309,899.55 × 173,138.60
  4. Step 4: Simplify right side
    206,599.70x = 53,655,574,227.63
  5. Step 5: Solve for x
    x = 53,655,574,227.63/206,599.70
  6. Step 6: Final answer
    x = 259,707.90

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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.