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Finding the Fourth Proportional to 206,107.93, 309,162.58 and 72,992.07

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Solution

The fourth proportional to 206,107.93, 309,162.58 and 72,992.07 is: 109,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,107.93 : 309,162.58 = 72,992.07 : x
  2. Step 2: Convert to fraction form
    206,107.93/309,162.58 = 72,992.07/x
  3. Step 3: Cross multiply
    206,107.93x = 309,162.58 × 72,992.07
  4. Step 4: Simplify right side
    206,107.93x = 22,566,416,908.84
  5. Step 5: Solve for x
    x = 22,566,416,908.84/206,107.93
  6. Step 6: Final answer
    x = 109,488.35

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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.