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Finding the Fourth Proportional to 206,851.90, 310,431.45 and 82,282.30

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Solution

The fourth proportional to 206,851.90, 310,431.45 and 82,282.30 is: 123,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,851.90 : 310,431.45 = 82,282.30 : x
  2. Step 2: Convert to fraction form
    206,851.90/310,431.45 = 82,282.30/x
  3. Step 3: Cross multiply
    206,851.90x = 310,431.45 × 82,282.30
  4. Step 4: Simplify right side
    206,851.90x = 25,543,013,698.34
  5. Step 5: Solve for x
    x = 25,543,013,698.34/206,851.90
  6. Step 6: Final answer
    x = 123,484.55

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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.