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Finding the Fourth Proportional to 206,376.57, 309,501 and 99,694.26

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Solution

The fourth proportional to 206,376.57, 309,501 and 99,694.26 is: 149,510.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,376.57 : 309,501 = 99,694.26 : x
  2. Step 2: Convert to fraction form
    206,376.57/309,501 = 99,694.26/x
  3. Step 3: Cross multiply
    206,376.57x = 309,501 × 99,694.26
  4. Step 4: Simplify right side
    206,376.57x = 30,855,473,164.26
  5. Step 5: Solve for x
    x = 30,855,473,164.26/206,376.57
  6. Step 6: Final answer
    x = 149,510.54

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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.