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Finding the Fourth Proportional to 206,517.50, 284,999.06 and 115,880.17

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Solution

The fourth proportional to 206,517.50, 284,999.06 and 115,880.17 is: 159,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,517.50 : 284,999.06 = 115,880.17 : x
  2. Step 2: Convert to fraction form
    206,517.50/284,999.06 = 115,880.17/x
  3. Step 3: Cross multiply
    206,517.50x = 284,999.06 × 115,880.17
  4. Step 4: Simplify right side
    206,517.50x = 33,025,739,812.34
  5. Step 5: Solve for x
    x = 33,025,739,812.34/206,517.50
  6. Step 6: Final answer
    x = 159,917.39

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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.