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Finding the Fourth Proportional to 206,428,843.80, 309,643,265.70 and 83,665,972.80

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Solution

The fourth proportional to 206,428,843.80, 309,643,265.70 and 83,665,972.80 is: 125,498,959.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,428,843.80 : 309,643,265.70 = 83,665,972.80 : x
  2. Step 2: Convert to fraction form
    206,428,843.80/309,643,265.70 = 83,665,972.80/x
  3. Step 3: Cross multiply
    206,428,843.80x = 309,643,265.70 × 83,665,972.80
  4. Step 4: Simplify right side
    206,428,843.80x = 25,906,605,045,759,372
  5. Step 5: Solve for x
    x = 25,906,605,045,759,372/206,428,843.80
  6. Step 6: Final answer
    x = 125,498,959.20

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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.