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Finding the Fourth Proportional to 206,051.79, 309,121.90 and 63,894.02

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Solution

The fourth proportional to 206,051.79, 309,121.90 and 63,894.02 is: 95,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,051.79 : 309,121.90 = 63,894.02 : x
  2. Step 2: Convert to fraction form
    206,051.79/309,121.90 = 63,894.02/x
  3. Step 3: Cross multiply
    206,051.79x = 309,121.90 × 63,894.02
  4. Step 4: Simplify right side
    206,051.79x = 19,751,039,768.28
  5. Step 5: Solve for x
    x = 19,751,039,768.28/206,051.79
  6. Step 6: Final answer
    x = 95,854.73

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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.