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Finding the Fourth Proportional to 149,608.96, 206,369.28 and 89,139.84

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Solution

The fourth proportional to 149,608.96, 206,369.28 and 89,139.84 is: 122,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,608.96 : 206,369.28 = 89,139.84 : x
  2. Step 2: Convert to fraction form
    149,608.96/206,369.28 = 89,139.84/x
  3. Step 3: Cross multiply
    149,608.96x = 206,369.28 × 89,139.84
  4. Step 4: Simplify right side
    149,608.96x = 18,395,724,600.12
  5. Step 5: Solve for x
    x = 18,395,724,600.12/149,608.96
  6. Step 6: Final answer
    x = 122,958.71

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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.