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Finding the Fourth Proportional to 99,135.36, 148,672.32 and 33,456

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Solution

The fourth proportional to 99,135.36, 148,672.32 and 33,456 is: 50,173.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,135.36 : 148,672.32 = 33,456 : x
  2. Step 2: Convert to fraction form
    99,135.36/148,672.32 = 33,456/x
  3. Step 3: Cross multiply
    99,135.36x = 148,672.32 × 33,456
  4. Step 4: Simplify right side
    99,135.36x = 4,973,981,137.92
  5. Step 5: Solve for x
    x = 4,973,981,137.92/99,135.36
  6. Step 6: Final answer
    x = 50,173.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.