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Finding the Fourth Proportional to 206,695.97, 310,102.29 and 82,124.45

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Solution

The fourth proportional to 206,695.97, 310,102.29 and 82,124.45 is: 123,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,695.97 : 310,102.29 = 82,124.45 : x
  2. Step 2: Convert to fraction form
    206,695.97/310,102.29 = 82,124.45/x
  3. Step 3: Cross multiply
    206,695.97x = 310,102.29 × 82,124.45
  4. Step 4: Simplify right side
    206,695.97x = 25,466,978,459.48
  5. Step 5: Solve for x
    x = 25,466,978,459.48/206,695.97
  6. Step 6: Final answer
    x = 123,209.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.