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Finding the Fourth Proportional to 206,625.65, 285,107.36 and 115,985.43

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Solution

The fourth proportional to 206,625.65, 285,107.36 and 115,985.43 is: 160,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,625.65 : 285,107.36 = 115,985.43 : x
  2. Step 2: Convert to fraction form
    206,625.65/285,107.36 = 115,985.43/x
  3. Step 3: Cross multiply
    206,625.65x = 285,107.36 × 115,985.43
  4. Step 4: Simplify right side
    206,625.65x = 33,068,299,165.84
  5. Step 5: Solve for x
    x = 33,068,299,165.84/206,625.65
  6. Step 6: Final answer
    x = 160,039.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.