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Finding the Fourth Proportional to 206,978.64, 311,851.07 and 187,011.33

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Solution

The fourth proportional to 206,978.64, 311,851.07 and 187,011.33 is: 281,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,978.64 : 311,851.07 = 187,011.33 : x
  2. Step 2: Convert to fraction form
    206,978.64/311,851.07 = 187,011.33/x
  3. Step 3: Cross multiply
    206,978.64x = 311,851.07 × 187,011.33
  4. Step 4: Simplify right side
    206,978.64x = 58,319,682,427.57
  5. Step 5: Solve for x
    x = 58,319,682,427.57/206,978.64
  6. Step 6: Final answer
    x = 281,766.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.