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Finding the Fourth Proportional to 150,717, 207,999.18 and 83,649

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Solution

The fourth proportional to 150,717, 207,999.18 and 83,649 is: 115,441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,717 : 207,999.18 = 83,649 : x
  2. Step 2: Convert to fraction form
    150,717/207,999.18 = 83,649/x
  3. Step 3: Cross multiply
    150,717x = 207,999.18 × 83,649
  4. Step 4: Simplify right side
    150,717x = 17,398,923,407.82
  5. Step 5: Solve for x
    x = 17,398,923,407.82/150,717
  6. Step 6: Final answer
    x = 115,441.01

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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.