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Finding the Fourth Proportional to 206,718.88, 285,274 and 117,287.84

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Solution

The fourth proportional to 206,718.88, 285,274 and 117,287.84 is: 161,858.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,718.88 : 285,274 = 117,287.84 : x
  2. Step 2: Convert to fraction form
    206,718.88/285,274 = 117,287.84/x
  3. Step 3: Cross multiply
    206,718.88x = 285,274 × 117,287.84
  4. Step 4: Simplify right side
    206,718.88x = 33,459,171,268.16
  5. Step 5: Solve for x
    x = 33,459,171,268.16/206,718.88
  6. Step 6: Final answer
    x = 161,858.32

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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.