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Finding the Fourth Proportional to 206,139.06, 309,408.12 and 99,597.96

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Solution

The fourth proportional to 206,139.06, 309,408.12 and 99,597.96 is: 149,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,139.06 : 309,408.12 = 99,597.96 : x
  2. Step 2: Convert to fraction form
    206,139.06/309,408.12 = 99,597.96/x
  3. Step 3: Cross multiply
    206,139.06x = 309,408.12 × 99,597.96
  4. Step 4: Simplify right side
    206,139.06x = 30,816,417,559.44
  5. Step 5: Solve for x
    x = 30,816,417,559.44/206,139.06
  6. Step 6: Final answer
    x = 149,493.34

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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.