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Finding the Fourth Proportional to 206,922.45, 310,219.65 and 113,428.20

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Solution

The fourth proportional to 206,922.45, 310,219.65 and 113,428.20 is: 170,052.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,922.45 : 310,219.65 = 113,428.20 : x
  2. Step 2: Convert to fraction form
    206,922.45/310,219.65 = 113,428.20/x
  3. Step 3: Cross multiply
    206,922.45x = 310,219.65 × 113,428.20
  4. Step 4: Simplify right side
    206,922.45x = 35,187,656,504.13
  5. Step 5: Solve for x
    x = 35,187,656,504.13/206,922.45
  6. Step 6: Final answer
    x = 170,052.39

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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.