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Finding the Fourth Proportional to 206,903, 285,526.41 and 117,479

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Solution

The fourth proportional to 206,903, 285,526.41 and 117,479 is: 162,121.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,903 : 285,526.41 = 117,479 : x
  2. Step 2: Convert to fraction form
    206,903/285,526.41 = 117,479/x
  3. Step 3: Cross multiply
    206,903x = 285,526.41 × 117,479
  4. Step 4: Simplify right side
    206,903x = 33,543,357,120.39
  5. Step 5: Solve for x
    x = 33,543,357,120.39/206,903
  6. Step 6: Final answer
    x = 162,121.17

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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.