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Finding the Fourth Proportional to 136,832.70, 205,249.02 and 99,629.52

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Solution

The fourth proportional to 136,832.70, 205,249.02 and 99,629.52 is: 149,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,832.70 : 205,249.02 = 99,629.52 : x
  2. Step 2: Convert to fraction form
    136,832.70/205,249.02 = 99,629.52/x
  3. Step 3: Cross multiply
    136,832.70x = 205,249.02 × 99,629.52
  4. Step 4: Simplify right side
    136,832.70x = 20,448,861,343.07
  5. Step 5: Solve for x
    x = 20,448,861,343.07/136,832.70
  6. Step 6: Final answer
    x = 149,444.26

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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.