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Finding the Fourth Proportional to 206,991.40, 310,427 and 80,603.40

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Solution

The fourth proportional to 206,991.40, 310,427 and 80,603.40 is: 120,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,991.40 : 310,427 = 80,603.40 : x
  2. Step 2: Convert to fraction form
    206,991.40/310,427 = 80,603.40/x
  3. Step 3: Cross multiply
    206,991.40x = 310,427 × 80,603.40
  4. Step 4: Simplify right side
    206,991.40x = 25,021,471,651.80
  5. Step 5: Solve for x
    x = 25,021,471,651.80/206,991.40
  6. Step 6: Final answer
    x = 120,881.70

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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.