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Finding the Fourth Proportional to 149,693.53, 206,571.90 and 89,233

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Solution

The fourth proportional to 149,693.53, 206,571.90 and 89,233 is: 123,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,693.53 : 206,571.90 = 89,233 : x
  2. Step 2: Convert to fraction form
    149,693.53/206,571.90 = 89,233/x
  3. Step 3: Cross multiply
    149,693.53x = 206,571.90 × 89,233
  4. Step 4: Simplify right side
    149,693.53x = 18,433,030,352.70
  5. Step 5: Solve for x
    x = 18,433,030,352.70/149,693.53
  6. Step 6: Final answer
    x = 123,138.46

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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.