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Finding the Fourth Proportional to 149,458.50, 206,236.26 and 89,020.89

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Solution

The fourth proportional to 149,458.50, 206,236.26 and 89,020.89 is: 122,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,458.50 : 206,236.26 = 89,020.89 : x
  2. Step 2: Convert to fraction form
    149,458.50/206,236.26 = 89,020.89/x
  3. Step 3: Cross multiply
    149,458.50x = 206,236.26 × 89,020.89
  4. Step 4: Simplify right side
    149,458.50x = 18,359,335,415.47
  5. Step 5: Solve for x
    x = 18,359,335,415.47/149,458.50
  6. Step 6: Final answer
    x = 122,839.02

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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.