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Finding the Fourth Proportional to 206,018.82, 308,474.52 and 130,731.34

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Solution

The fourth proportional to 206,018.82, 308,474.52 and 130,731.34 is: 195,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,018.82 : 308,474.52 = 130,731.34 : x
  2. Step 2: Convert to fraction form
    206,018.82/308,474.52 = 130,731.34/x
  3. Step 3: Cross multiply
    206,018.82x = 308,474.52 × 130,731.34
  4. Step 4: Simplify right side
    206,018.82x = 40,327,287,355.46
  5. Step 5: Solve for x
    x = 40,327,287,355.46/206,018.82
  6. Step 6: Final answer
    x = 195,745.65

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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.