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Finding the Fourth Proportional to 206,902, 285,525.03 and 117,478

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Solution

The fourth proportional to 206,902, 285,525.03 and 117,478 is: 162,119.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,902 : 285,525.03 = 117,478 : x
  2. Step 2: Convert to fraction form
    206,902/285,525.03 = 117,478/x
  3. Step 3: Cross multiply
    206,902x = 285,525.03 × 117,478
  4. Step 4: Simplify right side
    206,902x = 33,542,909,474.34
  5. Step 5: Solve for x
    x = 33,542,909,474.34/206,902
  6. Step 6: Final answer
    x = 162,119.79

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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.