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Finding the Fourth Proportional to 149,693.52, 206,571.92 and 89,232.98

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Solution

The fourth proportional to 149,693.52, 206,571.92 and 89,232.98 is: 123,138.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,693.52 : 206,571.92 = 89,232.98 : x
  2. Step 2: Convert to fraction form
    149,693.52/206,571.92 = 89,232.98/x
  3. Step 3: Cross multiply
    149,693.52x = 206,571.92 × 89,232.98
  4. Step 4: Simplify right side
    149,693.52x = 18,433,028,005.92
  5. Step 5: Solve for x
    x = 18,433,028,005.92/149,693.52
  6. Step 6: Final answer
    x = 123,138.45

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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.