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Finding the Fourth Proportional to 206,906, 285,530.32 and 117,482

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Solution

The fourth proportional to 206,906, 285,530.32 and 117,482 is: 162,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,906 : 285,530.32 = 117,482 : x
  2. Step 2: Convert to fraction form
    206,906/285,530.32 = 117,482/x
  3. Step 3: Cross multiply
    206,906x = 285,530.32 × 117,482
  4. Step 4: Simplify right side
    206,906x = 33,544,673,054.24
  5. Step 5: Solve for x
    x = 33,544,673,054.24/206,906
  6. Step 6: Final answer
    x = 162,125.18

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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.