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Finding the Fourth Proportional to 106,220.78, 159,310 and 68,157.46

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Solution

The fourth proportional to 106,220.78, 159,310 and 68,157.46 is: 102,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,220.78 : 159,310 = 68,157.46 : x
  2. Step 2: Convert to fraction form
    106,220.78/159,310 = 68,157.46/x
  3. Step 3: Cross multiply
    106,220.78x = 159,310 × 68,157.46
  4. Step 4: Simplify right side
    106,220.78x = 10,858,164,952.60
  5. Step 5: Solve for x
    x = 10,858,164,952.60/106,220.78
  6. Step 6: Final answer
    x = 102,222.61

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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.