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Finding the Fourth Proportional to 206,793.15, 310,246.00 and 80,438.32

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Solution

The fourth proportional to 206,793.15, 310,246.00 and 80,438.32 is: 120,679.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,793.15 : 310,246.00 = 80,438.32 : x
  2. Step 2: Convert to fraction form
    206,793.15/310,246.00 = 80,438.32/x
  3. Step 3: Cross multiply
    206,793.15x = 310,246.00 × 80,438.32
  4. Step 4: Simplify right side
    206,793.15x = 24,955,665,468.30
  5. Step 5: Solve for x
    x = 24,955,665,468.30/206,793.15
  6. Step 6: Final answer
    x = 120,679.36

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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.