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Finding the Fourth Proportional to 206,515, 285,007.98 and 117,108.28

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Solution

The fourth proportional to 206,515, 285,007.98 and 117,108.28 is: 161,619.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,515 : 285,007.98 = 117,108.28 : x
  2. Step 2: Convert to fraction form
    206,515/285,007.98 = 117,108.28/x
  3. Step 3: Cross multiply
    206,515x = 285,007.98 × 117,108.28
  4. Step 4: Simplify right side
    206,515x = 33,376,794,324.07
  5. Step 5: Solve for x
    x = 33,376,794,324.07/206,515
  6. Step 6: Final answer
    x = 161,619.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.