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Finding the Fourth Proportional to 206,872.97, 310,309.47 and 66,631.59

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Solution

The fourth proportional to 206,872.97, 310,309.47 and 66,631.59 is: 99,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,872.97 : 310,309.47 = 66,631.59 : x
  2. Step 2: Convert to fraction form
    206,872.97/310,309.47 = 66,631.59/x
  3. Step 3: Cross multiply
    206,872.97x = 310,309.47 × 66,631.59
  4. Step 4: Simplify right side
    206,872.97x = 20,676,413,378.16
  5. Step 5: Solve for x
    x = 20,676,413,378.16/206,872.97
  6. Step 6: Final answer
    x = 99,947.39

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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.