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Finding the Fourth Proportional to 206,983.96, 310,181.91 and 159,419.14

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Solution

The fourth proportional to 206,983.96, 310,181.91 and 159,419.14 is: 238,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,983.96 : 310,181.91 = 159,419.14 : x
  2. Step 2: Convert to fraction form
    206,983.96/310,181.91 = 159,419.14/x
  3. Step 3: Cross multiply
    206,983.96x = 310,181.91 × 159,419.14
  4. Step 4: Simplify right side
    206,983.96x = 49,448,933,335.76
  5. Step 5: Solve for x
    x = 49,448,933,335.76/206,983.96
  6. Step 6: Final answer
    x = 238,902.25

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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.