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Finding the Fourth Proportional to 149,440, 206,227.20 and 89,824

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Solution

The fourth proportional to 149,440, 206,227.20 and 89,824 is: 123,957.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,440 : 206,227.20 = 89,824 : x
  2. Step 2: Convert to fraction form
    149,440/206,227.20 = 89,824/x
  3. Step 3: Cross multiply
    149,440x = 206,227.20 × 89,824
  4. Step 4: Simplify right side
    149,440x = 18,524,152,012.80
  5. Step 5: Solve for x
    x = 18,524,152,012.80/149,440
  6. Step 6: Final answer
    x = 123,957.12

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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.