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Finding the Fourth Proportional to 132,464.97, 198,678.01 and 43,721.37

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Solution

The fourth proportional to 132,464.97, 198,678.01 and 43,721.37 is: 65,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,464.97 : 198,678.01 = 43,721.37 : x
  2. Step 2: Convert to fraction form
    132,464.97/198,678.01 = 43,721.37/x
  3. Step 3: Cross multiply
    132,464.97x = 198,678.01 × 43,721.37
  4. Step 4: Simplify right side
    132,464.97x = 8,686,474,786.07
  5. Step 5: Solve for x
    x = 8,686,474,786.07/132,464.97
  6. Step 6: Final answer
    x = 65,575.64

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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.