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Finding the Fourth Proportional to 206,571.80, 309,857.70 and 112,093.40

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Solution

The fourth proportional to 206,571.80, 309,857.70 and 112,093.40 is: 168,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,571.80 : 309,857.70 = 112,093.40 : x
  2. Step 2: Convert to fraction form
    206,571.80/309,857.70 = 112,093.40/x
  3. Step 3: Cross multiply
    206,571.80x = 309,857.70 × 112,093.40
  4. Step 4: Simplify right side
    206,571.80x = 34,733,003,109.18
  5. Step 5: Solve for x
    x = 34,733,003,109.18/206,571.80
  6. Step 6: Final answer
    x = 168,140.10

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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.