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Finding the Fourth Proportional to 206,030.72, 309,184.56 and 72,910.40

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Solution

The fourth proportional to 206,030.72, 309,184.56 and 72,910.40 is: 109,414.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,030.72 : 309,184.56 = 72,910.40 : x
  2. Step 2: Convert to fraction form
    206,030.72/309,184.56 = 72,910.40/x
  3. Step 3: Cross multiply
    206,030.72x = 309,184.56 × 72,910.40
  4. Step 4: Simplify right side
    206,030.72x = 22,542,769,943.42
  5. Step 5: Solve for x
    x = 22,542,769,943.42/206,030.72
  6. Step 6: Final answer
    x = 109,414.61

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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.