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Finding the Fourth Proportional to 206,833.16, 310,265.46 and 80,419.10

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Solution

The fourth proportional to 206,833.16, 310,265.46 and 80,419.10 is: 120,634.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,833.16 : 310,265.46 = 80,419.10 : x
  2. Step 2: Convert to fraction form
    206,833.16/310,265.46 = 80,419.10/x
  3. Step 3: Cross multiply
    206,833.16x = 310,265.46 × 80,419.10
  4. Step 4: Simplify right side
    206,833.16x = 24,951,267,502.96
  5. Step 5: Solve for x
    x = 24,951,267,502.96/206,833.16
  6. Step 6: Final answer
    x = 120,634.75

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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.