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Finding the Fourth Proportional to 206,991.90, 310,427.75 and 80,603.90

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Solution

The fourth proportional to 206,991.90, 310,427.75 and 80,603.90 is: 120,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,991.90 : 310,427.75 = 80,603.90 : x
  2. Step 2: Convert to fraction form
    206,991.90/310,427.75 = 80,603.90/x
  3. Step 3: Cross multiply
    206,991.90x = 310,427.75 × 80,603.90
  4. Step 4: Simplify right side
    206,991.90x = 25,021,687,318.23
  5. Step 5: Solve for x
    x = 25,021,687,318.23/206,991.90
  6. Step 6: Final answer
    x = 120,882.45

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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.