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Finding the Fourth Proportional to 206,705.92, 285,205.44 and 117,281.92

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Solution

The fourth proportional to 206,705.92, 285,205.44 and 117,281.92 is: 161,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,705.92 : 285,205.44 = 117,281.92 : x
  2. Step 2: Convert to fraction form
    206,705.92/285,205.44 = 117,281.92/x
  3. Step 3: Cross multiply
    206,705.92x = 285,205.44 × 117,281.92
  4. Step 4: Simplify right side
    206,705.92x = 33,449,441,597.64
  5. Step 5: Solve for x
    x = 33,449,441,597.64/206,705.92
  6. Step 6: Final answer
    x = 161,821.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.