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Finding the Fourth Proportional to 259,212.38, 388,513.08 and 116,891.01

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Solution

The fourth proportional to 259,212.38, 388,513.08 and 116,891.01 is: 175,198.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,212.38 : 388,513.08 = 116,891.01 : x
  2. Step 2: Convert to fraction form
    259,212.38/388,513.08 = 116,891.01/x
  3. Step 3: Cross multiply
    259,212.38x = 388,513.08 × 116,891.01
  4. Step 4: Simplify right side
    259,212.38x = 45,413,686,319.41
  5. Step 5: Solve for x
    x = 45,413,686,319.41/259,212.38
  6. Step 6: Final answer
    x = 175,198.76

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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.