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Finding the Fourth Proportional to 206,225.30, 309,625.95 and 131,806.10

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Solution

The fourth proportional to 206,225.30, 309,625.95 and 131,806.10 is: 197,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,225.30 : 309,625.95 = 131,806.10 : x
  2. Step 2: Convert to fraction form
    206,225.30/309,625.95 = 131,806.10/x
  3. Step 3: Cross multiply
    206,225.30x = 309,625.95 × 131,806.10
  4. Step 4: Simplify right side
    206,225.30x = 40,810,588,928.30
  5. Step 5: Solve for x
    x = 40,810,588,928.30/206,225.30
  6. Step 6: Final answer
    x = 197,893.22

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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.