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Finding the Fourth Proportional to 206,848.65, 309,992.69 and 107,078.89

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Solution

The fourth proportional to 206,848.65, 309,992.69 and 107,078.89 is: 160,473.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,848.65 : 309,992.69 = 107,078.89 : x
  2. Step 2: Convert to fraction form
    206,848.65/309,992.69 = 107,078.89/x
  3. Step 3: Cross multiply
    206,848.65x = 309,992.69 × 107,078.89
  4. Step 4: Simplify right side
    206,848.65x = 33,193,672,646.03
  5. Step 5: Solve for x
    x = 33,193,672,646.03/206,848.65
  6. Step 6: Final answer
    x = 160,473.24

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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.