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Finding the Fourth Proportional to 208,999.28, 313,510.74 and 66,857

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Solution

The fourth proportional to 208,999.28, 313,510.74 and 66,857 is: 100,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,999.28 : 313,510.74 = 66,857 : x
  2. Step 2: Convert to fraction form
    208,999.28/313,510.74 = 66,857/x
  3. Step 3: Cross multiply
    208,999.28x = 313,510.74 × 66,857
  4. Step 4: Simplify right side
    208,999.28x = 20,960,387,544.18
  5. Step 5: Solve for x
    x = 20,960,387,544.18/208,999.28
  6. Step 6: Final answer
    x = 100,289.28

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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.