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Finding the Fourth Proportional to 206,101.77, 309,182 and 63,959.32

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Solution

The fourth proportional to 206,101.77, 309,182 and 63,959.32 is: 95,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,101.77 : 309,182 = 63,959.32 : x
  2. Step 2: Convert to fraction form
    206,101.77/309,182 = 63,959.32/x
  3. Step 3: Cross multiply
    206,101.77x = 309,182 × 63,959.32
  4. Step 4: Simplify right side
    206,101.77x = 19,775,070,476.24
  5. Step 5: Solve for x
    x = 19,775,070,476.24/206,101.77
  6. Step 6: Final answer
    x = 95,948.09

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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.